I've never used those screw tops before, nor have I even seen them. I've always used the two-part lids.
Wrt jars, I wouldn't expect you to have problems with recycling the glass jars. Sometimes, you might get one that cracks from over use, but you can get that with canning jars as well (although I never have).
There are a lot of Internet sites that have detailed info regarding canning - Bernardin.ca is a good one. They make canning jars, and generally know what they're talking about! Good recipes there too, if you need some. I suggest you read up there so you're sure you don't miss anything. Have fun, and