buffaloricky:
As with many issues, there are definitely two sides to this question.
NO - you shouldn't re-use screw cap beer bottles because they are made of thinner glass, and there is a greater chance of the bottles breaking or even just the threads breaking and providing a poor seal.
YES - you can use screw top beer bottles. I use them regularly (opened one at dinner tonight), but most of my bottles are crown cap. Also, I live in Canada. Most of our screw top beer bottles are re-used by the breweries, and thus are made of heavier/stronger glass. I have heard of Americans bringing empty beer bottles back from Canada because of this.
No matter what style of beer bottle, you need a capper and new caps. Like Tom said you can't re-use beer caps. I use a bench capper and find that the crown cap bottles seem to be slightly easier to cap. Don't know what the result would be with a hand capper.
Steve