There are quick access pistol BOXES, and quick access pistol SAFES.
The boxes are not intended to protect against a thief. It just keeps the people in the home you don't want to have access -- kids, visitors, your kid's friends -- from having easy access. People who choose these often put their pistols in a real safe when they aren't at home to prevent theft.
The safes are better built and would keep a thief from easily breaking into the storage device. I have a couple of these from FAS1:
http://www.fas1safe.com/This safe is made of super-heavy steel (3/16" thick, or 7 gauge) and has a mechanical lock that prevents the problems associated with electronic keypad systems. You can order different sizes depending on you needs.
While they do sell larger safes for suppressed handguns and shorty shotguns that might fit 3 handguns, I purchased multiple regular size safes. That way I can have guns in different rooms throughout -- secure and easy to access.
I believe Fort Knox brand also carries something similar.
The optional key lock lets you open the safe without the combo, or you can lock out the safe's keypad entry completely. The lock-out feature might be useful to prevent kids from guessing the combo while you're not at home.
There are much cheaper options out there, but if you really want reliable and quick access, a mechanical lock would be my recommendation. Electronic locks have a tendency to not work when you really need them to, either from a dead battery or failed components. And, if you intend to leave the pistols in the container all the time, you should consider a heavy duty product -- not something that's going to give someone with a screwdriver and hammer access in a few minutes.