I agree with those that recommend a single axle trailer. They are manuverable, you can load a bunch of wood in them, and unless you get a 1 ton truck you really aren't going to be able to pull or stop the weight that you can load into a dual axle trailer.
Take your time and find the right trailer....don't just buy one from the Big Box stores. My single axle trailer is as wide as the law allows, I believe it is 66" wide and almost 9 feet long. It has a low boy axle and 12 ply tires and I believe it will haul about 5,000 pounds legally, and it does have electric brakes. It is a home built trailer and the fame is square tubing and it is much nicer built than the angle iron trialer with the stretched metal floor. The sides are removable as it has the stake pockets that accept 2x4 uprights - but the sides are only about 10" tall and I have to stack the wood carefully if I want get a lot of wood. Low sides are nice for reaching over and stacking the wood - but if you just want to toss the wood over the sides and into the trailer without stacking you will want taller sides. I like my short sides as I can reach over the trailer sides to unload and get almost all the wood out without ever having to climb up on the trailer.
Watch Craigslist or your local paper and look for a nice used trailer. Good trailers come up everyday in our area and they sell very quickly. If you buy a nice trailer and use it for a while and decide that you want something different you will have no trouble reselling it to buy a better one....and you might even be able to make a little money. If you buy one of the cheap trailers from the Big Box stores.....they will not sell nearly as easily. Used Single axle trailers capable of hauling firewood are generally $ 500 - $ 800 around here. I paid $ 175 for mine.......the tongue was bent and it needed painted and tires. I cut off the single tube tounge and put on an A frame, primed and painted it, and put on some new tires and it is now a great trailer. Wide tires are nice to help keep the trailer from sinking in on soft ground.
Don't be too tough on me when you see the trailer behind the S10....I was only hauling the straw around the property while we where planting our yard.