T-shirt quilts aren't hard to make. Best advice I can give you is to read a few online how-to articles. Here's one link for you to check out:
http://quiltbug.com/articles/Tshirt-quilts.htm
Definitely use a stabilizer on the shirts before you start putting the blocks together. It will make it easier to work with...and if you sent it to a LA'er (or quilt it yourself), they/you will find it MUCH easier to quilt.
Be sure to post pics when you've finished it
Christine