>>144399Sounds like you want to get into bushcraft.
For a "big knife" it depends on your environment and how heavy you'll be working. A 5" full tang carbon steel blade (go stainless if you're in really wet environments) is typically the bare minimum for all around function. It'll do just about anything you can think of. Woodwork, preparing game, digging, cooking, etc.
For cutting wood, just screw it and get yourself a folding saw. Lightweight, compact, and they'll save you a TON of time and energy over an axe/tomahawk.
For chopping and splitting - and this is just MY opinion - try a kukri. The shape and mechanics of the blade are perfect for working with larger logs. An 8" blade (12" overall) will do everything the 5" does plus the work of an axe. IMHO, it's the perfect balance between size, weight, and function.
Start here:
http://www.youtube.com/watch?v=mGahdNfW9Xk (part 1 of 4)
This will teach you everything you need to know.
For purchasing, go to
thekhukurihouse.com and get one from Nepal. You can get a great one for less than a $100. Just make sure it's full tang (you can tell by the metal pins in the handle).
Hope that helps, OP.