People have had success using paint to glue the canvas down, but some say that PVA glue (TB2 or equal) is better to work with.
I plan to do the sides first, overlapping top and bottom by a few inches, then cover the top and overlap the sides by a few inches giving double reinforcement for the corners.
The best results appear to come from gluing the canvas down first and letting it dry completely before coating the outer surface with paint. People report that they get less bubbling this way.
Some techniques that have been developed and used by several people include using white glue (
not water resistant), either straight or slightly watered down, along lines that you intend to cut. The glue binds the threads together and prevents fraying of the fibers along the cut line. Then when you go to glue the edges down the white glue dissolves in the moisture of the PVA glue and allows the fabric to lay down and conform to corners (whereas a water resistant glue would remain stiff).
Another reason to let the canvas set up first before top coating is that if you have any areas that didn't stick you can us a wet rag as a buffer and a clothes iron to reactivate the glue (provided that the problem wasn't due to a dry spot... you want to use plenty of glue).
Again, if in doubt, do a test sample.
Check out
the foamie section of tnttt. There are lots of builds there that use canvas outer skin.