My VA and WA permits came as pieces of paper. I laminated them (folded the WA one, as it's HUGE) and carry them in my wallet. Each of them is considerably larger than my DL or military ID. I decided to play around with my color copier, and made them about 75% sized, and cut the printouts, and those fit nicely in my VERY small wallet.
Try it out. Good to have a color copy of the WA and VA permits. (License in WA)
Also, my WA one says HANDGUNS and my VA one says WEAPON. (MY NYS one has a supplemental for all my handguns that says very clearly what gun it is, what caliber it is, what the serial number is, and a paragraph on the back that tells the story of how each and every one of my guns causes crime on a regular basis, and that I am a very bad baby-killer for even thinking about the handgun indicated on the front of this permit.)