Software used by Grandmasters and other instructors in lectures

I'm new to chess; watching a lot of YouTube videos where different games and/or scenarios are played, rewound and replayed with different variations and explained (see screen snapshot for example).  The instructors can draw arrows and all kinds of other cool things.  I'm assuming this is some standard piece of software I can get?  Where I see the value is in the chess books I've purchased for my Kindle; I travel a lot and can't carry a full chess board with me on the plane, but if I had a "mobile board" on my MacBook where I could set up famous games or problems listed in my books, that would be awesome.  Anybody know what this software is?  

TIA

You don't really need any program for an analysis board. Chess.com has one here.

You can find the analysis tool from "Learn" -> "Analysis".

Thanks very much nexim.  This is exactly what I was looking for.  At first I didn't see the option to clear the board and set pieces where I wanted, so I thought I had to start from a fresh game, but this will do quite nicely!  Thank you very much sir!

(As a computer programmer, I still confess a shred of curiosity about the software that seems to be so commonly used on YouTube.  Seems like a very nice teaching tool, with the ability to draw arrows at points of focus attacks, hit a button and rewind positions to a given "bookmarked" point, etc.  Mind you, I will not be qualified to be doing any teaching for a very, very, very long time! :-) )

You can do all of those things with the analysis program here.

Here are some tips:
- Click a square with right mouse button and drag to another square to draw an arrow. This also works in games that you are playing, but not in tactics trainer.
- If you want to go to a certain position in a game, just click the notation in the analysis. For example if you have a Ruy Lopez game and you want to see what happens after the standard beginning, you can go to move 3. Bb5 and see moves from that point forward.
- You can download almost any professional game played as a PGN or FEN file. I'm not going to link to outside sites, but you can find a lot of PGN files of professional games from Google. You just copy the PGN and paste it at the "load PGN" and click "Load". Same applies to your own games, or if you have played any games on any other platform. Almost all chess programs and websites store games in PGNs. You can then go through the game move by move, or go to a certain point. You can also put a computer analysis going on to see what the engine thinks about the moves made in the game.

There are dozens of different chess programs, from which I have a few. However, once I've gotten used to playing around with the analysis tools found online, I haven't really touched any of my programs. I only use Tarrasch sometimes to write notations and explanations of my own games and moves. I think the chess.com analysis tool provides all of the things you need, just need to mess around with it a little. As a bonus it also has a massive pool of opening lines from master games (with win/draw/loss) rates based on the choice of opening.

Thanks so much nexim!  I am sure I will find you are absolutely correct--everything I need is already here, I just need to learn how to use it!  I've been amazed by the richness offered by the site, even in my early days.  The ability to analyze my games, going back and looking at mistakes, blunders, questionable moves--that alone has been more than worth the price of joining.  Toss in all the training options and, well, mind blown :-)

You are also correct. :-)

Welcome to the community of chess! The amount of material to indulge yourself in is practically unlimited on this site alone, and there are tons of chess books, YouTube videos and tactic trainers out there. What I can tell you is that chess is a hobby where you never run out of things to learn. Just a worthy reminder, that especially in the beginning, all of this material may seem overwhelming, and it's hard to know where to even start. Just start somewhere. Every little bit of chess exercise, tactic training, lessons, watching tutorials and just playing the game is bound to make you a better player. The great thing is that every new thing you learn just makes you appreciate the game even more.

I suggest that you check John Bartholomews and ChessNetworks YouTube channels. They have absolutely amazing concept tutorials from beginners to intermediate players, as well as a lot of live gameplay content. I used to watch them every day for a year and I made a rating jump from 700 to almost 1600. :-)

I will definitely check them out!  I have no idea where I'm rated yet but I'm sure it's pretty low at this point.  I have much to learn but I am really, really enjoying the challenges.  Seems like a great community here too, many helpful folks such as yourself willing to help out!  Much appreciated!

You're welcome. :-)

You can see your current ratings with every game mode by going to your profile.

Currently your ratings are as of follows:
Blitz 488
Bullet 376

Blitz means games where each side has 10 minutes or less to make all moves, and bullet is games where you have less than 2 minutes to make all moves.

I suggest that as a beginner you play rapid time controls (meaning time control is over 10 minutes for all moves for both players) when playing against other players. Generally the rapid player pool is more beginner friendly, to get more even games, not to mention that more time gives you actual time to think for your moves. A beginner playing fast games is just a beginner playing with intuition that doesn't really exist yet. First you need to practice slow, before you can go fast. :-)

With some dedication and correct training you can from 500 rating to 1000+ in a matter of months, and all the way up to 1500s in a year or two.

So is there another rating besides blitz and bullet that I'll earn when I finally play a game that's longer than 10 minutes?  I kind of stumbled into those fast games accidentally not knowing what I was doing ;-)

Yes, there are four different rating types for games you play here:

Bullet (2 minutes or less for all moves)
Blitz (10 minutes or less for all moves, but more than 2 minutes)
Rapid (more than 10 minutes)
Daily (correspondence games where you can have 1 day or more to make every move)

I think Rapid and Daily are best for beginners. Masters usually play only blitz and bullet, because they have practiced enough to play good games in fast time controls, and they already usually play a lot of classical chess over the board, where games often last hours in one sitting.

There are also other ratings like Tactics (your rating on tactics trainer), Lessons (your rating on lessons you take), Puzzle rush (how many puzzles can you complete in Puzzle Rush "minigame") and all different chess variants like 960chess, Bughouse, Crazyhouse and so on. :-)

Whew!  You know, if someone hasn't written a comprehensive Kindle edition of a Primer for Chess.com, that'd be a great book.  This is a very content-rich site! :-)