I wouldn't use bleach, while it can be used it must be diluted and must be completely rinsed off until you can't smell it at all.

I would recommend that you get either F10 or Chlorhexidine. Both when diluted to the recommended levels are very safe and effective. A 1 gallon jug of Chlorhexidine will make 128 gallons of diluted cleaning solution.

http://www.reptilebasics.com/cleaning-products