I have been cutting in 13 A of woods for 40 years, and have been using one saw, with a 20 inch bar. A second saw is good for getting you out of trouble, but an axe will work too.
Some wedges for directing the fall of the tree, and to keep a tree from setting back on the back cut, along with the axe and a 'peavy' or 'cant' hook to help roll logs.
If firewood is what you have in mind, then splitting tools if you are going to split, and hauling equipment if you are going to haul the split pieces out of the woods. I drag mine out with a logging tongs on my iMatch now. Have done similar for those 40 years, as I like to deck the logs, buck them to firewood length and then split with a hyd. splitter. Now I stack the split wood on pallets, and move them around with forks on my FEL. Didn't always do that, but I can afford it now and it is much easier on an old man. /forums/images/graemlins/wink.gif
Hard hat, ear protection, face protection, and chaps are a must for me. I have examples of needing the hard hat and chaps, that wouldn't have been pretty if I had neglected to have them on. /forums/images/graemlins/tongue.gif
A serious tree-felling course if one is available, or finding a site that gives tree-felling pointers is good. Working with your friend is another way to pick up pointers.
I've mostly run a Stihl saw, but would say they are not the only good saw on the market. Just what I bought initially and it has never failed me. Now I have a second one, just because. Still use the first one. /forums/images/graemlins/wink.gif
Enjoy your woods. I do mine.