I also put punctured tubes in a box and patch them all at once, with a new tube of glue. I never keep opened tubes of glue, they just dry up eventually.

Additional tools:

a silver sharpie. I draw a 4 long lines pointing to the hole, so I know where it is if it's tiny. And it's easier to center the patch, too.
Real sandpaper! that tiny scrap in the patch box is annoying to use. I'll use a piece of 100 grit or 150, whatever I have. So much faster!
I use a corner of the the plastic patch box to press down the patch thoroughly. A screwdriver handle would be good, too.

(I clamp the finished patch with a woodworking spring clamp for a few hours. I don't know that it actually helps, but its easy to do.)

Test the patched tube on the wheel at home, then I treat it as if it's a new tube from then on.