craftgrrl | Book purse making question

I checked the tags here, and I would check thistothat.com, but I think that asking people who USE the glue might be a better idea.

I plan on making one of these book purses (I was going to buy one, but looking at how it's made? I can do that. Easily, rather than spending $50).

But I don't normally work with glue (in fact, the only ones I have on hand are FabriTac and white glue from Joann) and am uncertain what I should get to glue the handles to the boards and the insides to the boards (and well, basically the whole thing together).

Can anyone recommend a good glue? Thanks in advance!