You may also want to look into a plastic welder if you want to avoid the gluing, though it does take some practice to get it right w/o weakening the plastic.
edit: I just took a look at that materials site. Be careful because I don't believe all those glues listed are food safe or proper for that type of job (i.e. cyanoacrylates bond really well but are brittle and if you jar the assembly hard enough, it will crack off, certain types of epoxy may leach nasty stuff, etc.).