I currently just have a half gallon of already diluted chlorhexidine that I've been using, stored at room temperature in a basic plastic container with a cap. I use it to disinfect my tubs every time the snakes defecate/urinate, and just let it dry without rinsing out.

Is this the proper way to use diluted chlorhexidine? And is this the proper way to store the diluted solution? Will it go bad after a certain amount of time?

After a bit of looking in, I think that I should have bought F10 over chlorhexidine...