craftgrrl | Plastic-crocheted-bag, best way to line?

I looked through the memories and didn't see an answer to my question, so. . .

I crocheted a bag out of strips made out of plastic grocery bags, as talked about at Marlo's Crochet Corner. I didn't go by that exact pattern, but it's the same idea.

I want to make it sturdier, so I got 3 yards of fabric to line it. But I have no clue how! I'm not a great seamstress, so I don't know where to start lining something out of plastic strips I've crocheted together (I crocheted a loop of the plastic and one strand of regular worsted weight yarn). I used one of those big plastic hooks, not sure of the size, and single crochet. I've seen a pictures of a lined plastic-bag-bag before, so I know it can be done, but I need some help!