First off, welcome to the forum; stick around and you will get lots of good advice and feedback as you progress in this sport. I moved your post into this section where you will get a much better viewing and response.
Let`s start with the basics, your type of riding you describe is free ride or all mountain. Freestyle is all about the tricks. Ant relatively new rider should spend the first season learning to ride and getting down all of the fundamentals to riding before deciding to go in any particular direction with their riding. As such, your first board should be a true all mountain board.
There are 3 basic types of board; freestyle, free ride and all mountain. The freestyle and free ride boards tend to be engineered to do their tasks very well at a slight cost of performance in other areas. An all mountain board is designed to do everything reasonably well at the slight cost of not excelling in one area. They are the most versatile board out there. They have a directional design to them with a slight stance setback to make them ride well directional, yet still handle switch riding well. They will generally have a gentle side cut that is either radial or progressive. A radial side cut has an even radius throughout the side cut while a progressive starts out mild and gradually deepens. This allow the rider to enter turns very gently and power out of the turn aggressively. All mountain boards also tend to have a middle of the road flex pattern to them both longitudinally and torsionally ( the ability to twist the board ).
With size 13 boots you are going to be needing a wide board. Most snowboards come is a fairly standard waist width of around 25 CM give or take 1/2 CM A wide board will run around 26-27 CM waist width giving the big footed rider a board where heel and toe drag is eliminated. Length is almost solely determined by the rider`s weight not height. The only time height is a factor is when dealing with non standard height to weight ratios such as a very tall, but skinny rider or a really heavy, short rider. The adjustment for height has to do with stance width. In your case, for an all mountain board, you will be looking at something in the mid 160 CM range. I would be looking at somewhere around a 162- 164 range for all mountain use and perhaps knocking that up to around a 167-169 if you plan on really focusing on cruising and riding fast or deal with powder. A longer board is much more stable at higher speeds and floats better on powder due to increased surface area. The downside is the length begins to effect turning radius and these things tend to turn like a school bus when they get too long. A shorter board is much easier to turn, spin in the park and negotiates trees more adeptly, but they really become unstable at speeds a longer board is quiet at. The 164-166 range would be right in the middle for you.
As for specific boards, its like the Ford vs Chevy argument; everyone has their favorites and all of the top manufacturers have really good stuff in their higher end lines. People will give opinions based on their riding experience so check em all out and see what appeals to you most. Brands like Ride Burton, Neversummer, Arbor, Gnu and Libtech are all very good as are a lot of others; just look at their upper end lines. For may part I am a big fan of Atomic and Rome and will give you a couple of terrific boards from them that will serve you well. Others will do the same.
Bindings are very important too; you want a binding that is as light as possible but for free ride/all mountain gives ample support while remaining flexible enough to be forgiving of errors in control. I am a huge fan of Rome bindings and you will find in many reviews they score very high. The Rome Arsenal is ideal for a newer rider to learn on as well as for advanced riders who need more support for back country. They have the stiffest high back in Rome`s line and are a superb binding. Very comfortable, supportive, responsive and the things are bullet proof. I have these on my big mountain/back country board. I rode in Fairbanks Alaska in -38F weather and when most plastic and ladder straps shatter, these held up with no issue for 8 days of hard riding. The 390`s are the bomb! These things are such a fun binding and are much more flexible with a taller, narrower and softer high back. The 390`s are the choice for free stylers. They are identical to the Arsenals except for the high back and the extra padding on the straps. I rock these on my all mountain and park boards. The Targas are the premium binding; they are really 390`s with a lot of extra features. A bit heavier and the hogback is a little softer still. They have an adjustable torsional flex to them as well. There are tons of great bindings out there (Drake, Union, Ride, Burton etc) but these Rome`s are up in the top 10 list for sure.
Rome Snowboard Bindings | Rome Snowboard Design Syndicate 2008
My board pics for your needs:
Radon, Exeter, Triarc or Alibi Wide...very solid boards. The Radon is the Cold Smoke`s "big brother" and accommodates a larger boot, but it may not be wide enough for a size 13. The Alibi Wide is ideal but is pricey. The Exeter and Triarc are good boards. Atomics are very stable and easy to ride even as a newbie yet perform to the demands of an advance rider in advanced terrain. Atomic is known for their keen, sharp edges which hold well in ice.
For your boot size, the Rome Flag or the Rome Slash. The Flag is basically the Rome Anthem in a wide and is the kingpin of Rome`s free ride/all mountain lineup. The Slash is a wide version of the Agent and is again, a mainstay of Romes with a little more of a freestyle twist. The Agent/Slash rides well all mountain so don`t let the freestyle label turn you off. Very solid boards and I recommend these as highly as the Atomics.
Rome Boards | Rome Snowboard Design Syndicate 2008
The board that I am familiar with here that would be ideal for a big footed rider is the Ride Yukon. It is a pretty stiff board, so that will be a little more of a challenge to learn on but not too difficult. In the end you would come to really love this board.
Ride Snowboards 07/08
Did`nt mean to give you "War & Peace" here, but this should help you get a really good start on your shopping....