A friend of mine who is an art supply dealer gave me a giant tub of Yes! Glue to try in my classroom. This stuff is the bomb! It glues fabric, paper, and just about anything else without curling or peeling off later on. It is awesome for bookbinding and collage work, though. I made a few books with fabric covers and the Yes! glue was PERFECT for that. It's a good, strong hold, doesn't wrinkle, yet still allows the fabric a certain amount of stretchiness so it keeps a nice spine. But the fabric still feels like fabric when it dries. It also held the ribbon ties underneath the fabric cover really well -- this is a highly-used scrapbook and the ties never pulled out.
I wouldn't recommend it for mosaic-type stuff -- I tried to do bean mosaics with it and it's a flexible hold so the beans eventually just popped out (like, a year later.) It would probably have been fine had I given it a nice coat of polyurethane or something, though.
Okay... all you really need is some silk screen (get the kind that's for doing textile work if you're doing T-shirts. Otherwise your design comes out not-so-sharp.) You need a screen (on a frame), a soft pencil, water-resistant masking tape, ink, a squeegee, and screen filler.
Stretch the silk tightly onto the frame or stretcher. You want to keep it tight, but don't puncture it with the corners of the frame (sand it if you have to.) Staple into place, then mask the edges of the screen on both sides with tape. (This prevents the ink from glooping through on the sides.)
Draw your design on paper (or print it off the computer), then trace it onto the screen (frame-side up, just like you will be printing it) and paint everything you DON'T want inked with screen filler.
Then you just glop some ink on the screen, squeegee it across a few times to make sure you fill in all the areas (be careful not to let the screen shift) and voila!
It's really a lot easier than I thought it would be. You really don't need the press with the hinges unless you're doing posters or other flat things. You can also find canvas stretchers that snap together that you can stretch the silk onto, also.
There are other methods, too, but I haven't tried them, yet.