using a brayer and waxed paper might be helpful
to rollout the air bubbles no matter what
sort of cement or paste or glue you use
to bond your pieces ...
if you don't like rubber cement
you can mix different proportions of pva ( white glue ) and
wheat / rice / starch paste and get different sorts of pastey-glues
together with the steel ruler and blades, a brayer is priceless ..

have fun !