I would often see an older fellow (60 or so - which makes me an older fellow, too, I suppose) dismounting tires at the local U-Pull-It junkyard and making it look easy. He just had a Harbor Freight bead breaker and some tire irons. I figured that might be handy equipment to have around so I picked up the bead breaker on sale and a couple tire irons. I already had a 5 HP compressor.
When my van needed a new set of 16" Michelins in 2009, I decided to change them myself. It's really good exercise! (I had to take a couple of breaks). A couple months ago I replaced two of the Michelins with new Goodyears and changed them myself again. This time I had trouble getting the beads seated but finally got the job done by wrapping a nylon ratcheting tie-strap around the tire and tightening up on it.
If you try tire changing, here are some tips: Lubricate the beads and edges of the rims liberally with soapy water. Also, I ended up getting a third tire iron, which makes the job easier. And it's a good idea to do the job on a big piece of cardboard to avoid scratching your aluminum rims.
Bill