I use diluted Chlorhexidine in a spray bottle to clean snake tubs.

For rat/mice tubs/cages I use a water, bleach, and vinegar solution. I believe it is: 1 Gallon Water, 1 oz Bleach, 1 oz Vinegar. Works great and gets rid of bad smells. I also put it into a spray bottle. After I use it, I let it air dry before rinsing down, contact time is important when using any disinfectant.

I've also heard of using non-scented baby wipes, but have not tried it myself.

I read dish detergents should not be used because they leave behind residues.