I bought a keychain remote, it's smaller and cost about $8, and I keep it in the left door armrest. I keep it there because there is a rubber mat at the bottom of the armrest little tray and the remote doesn't rattle around.
I had to google the 2013 Accord interior to see they got rid of the "This is not an ashtray" tray in front of the shift knob. I keep my openers there.
Pro tip: don't be afraid of velcro. Little square and you can stick your opener under the steering column. Discreet and out of the way, but very functional (and removable). I've found velcro to be very handy for mounting stuff on my dashboard, and it doesn't let go even in the 110F+ summers.