Oh my, are all those big quilt tops just sitting around waiting to get quilted? Poor things! ;-)
My first quilt was in a class at the LQS. It was a lap quilt, simple patches, and the class included learning to pin the top, batting, and back together and quilt it. The quilt wasn't perfect by any means, but it got done. If you are really squeamish about this, you might look for a beginner's class at your LQS and talk to the owner about the fact that you don't need help with piecing, just with the quilting. Perhaps she could let you work on that throughout one of her classes. Unfortunately most of the "machine quilting" classes I've taken have concentrated on free motion, not on the basic mechanics of actually quilting a quilt, "getting 'er done".
Good luck, and be sure to post your quilts! Completed!