OK, Bcarve, you ain't gonna like this, but.........
DON'T try to cut those logs, or chunks, or whatever you call them on a table saw!!!!!!! DON'T, DON'T, DON'T!
At the very best, you'll either burn out your motor in a jam, or bust a drive belt in the same! At the worst, you'll have a severe kickback that will send a piece of that log, or chunk, or whatever you call it, screeching toward your body at over 400 fps. (that's about the rotational speed of a typical 10' blade in a typical 10' table saw. Believe me, you do NOT want to be on the recieving end of one of those missles. Like Dave said, look around for a local small mill operator if you are bound and determined to harvest your own wood. Those guys know what they are doing and won't charge you an arm and a leg.
Trying to split wood with a splitting maul is also a dangerous practice, if you don't know what you are doing......should be wearing safety equipment and have the proper backing for your material. Those guys on TV are not woodsmen, they are actors, or they have a stunt man doing the hard work for them. You were right, splitting wood IS hard work, and there ain't no easy way to do it. There are a LOT of folks around here in 'logging country' who have a few fewewr fingers than they started out with from using hydraulic or electric splitters, and a few of them have suffered severe trauma to their own 'trunk areas' when a piece of firewood decided to split away from the wedge toward them.
I don't mean to discourage you from looking into processing your own wood, but you just gotta be told that this is an extremely hazardous approach to finding wood to carve. In order to carve, you'll need as many of your fingers as you can save, and it sounds like your heading toward the amputation room. Stay away from that table saw for what you had planned. They are precision machines designed for wood WORKING, not milling! We like your enthusiam and want to keep you around!
Al