I use Gem Tack for gluing fabric to fabric, metal to fabric, glass
to wood......you get the idea. Its made by Aleene's, the same folks
that make Tacky Glue, but you don't want Tacky; its just not the best
for what I think you're doing.
I apply Gem Tack with anything from a tiny three-haired brush to a
wide sponge. It just depends on the job. Buy a small bottle and try
it out on surfaces similar to your display pieces. Keep in mind
exactly what you want to accomplish and don't use one single extra
Its inexpensive, available at most craft stores, and worth a try. No
substitution, its Gem Tack.