There are rollers and trainers. Rollers are just that. You ride on the drums. Needs more balance then a trainer. The trainer is the one that mounts to the rear tire.
Rollers are really quiet but you should probably have a wall to lean against when you learn to ride them.
There are a couple different kinds of trainers. I've got a mag trainer from Minoura. It has the best resistance feel while being quiet. An air trainer tends to vibrate a lot and if you live upstairs somewhere with wooden floors your downstairs neighbors will probably not be real happy.
Also if you spend a lot of time riding the trainer or rollers keep a towel on your handlebars. The sweat on the top and down tubes of your can do some nasty things to your paint depending on the quality of the paint job.
Here's a link that you browse for some of the different types:
Performance Bike