Don't let anyone make you feel bad on how you are currently taking care of your frog. That you came here to learn more and have asked thoughtful questions is pretty darn good evidence that you care about your frog and want to take the best care of him that you can. So that's good.
In case you haven't seen it, see Kurt's (<-he's reliable

) care sheet on this website
Frog Forum - White's Tree Frog Care - Litoria caerulea
1. If you are interested in setup advice, please post some pics of your tank. This will help you in planning a larger one as your frog gets bigger
2. It's not too difficult to keep a couple weeks cricket supply alive in a shoebox sized tupperware container in between pet store runs. Anything that isn't a full adult male cricket won't chirp, and this smaller number won't make a noticeable stink. See
Frog Forum - Culturing Crickets - Care and Breeding of the Common House Cricket for info on how to house crickets, even if you have no plans on breeding them. Mealworms are dead easy to breed and might be a fun project your child can help with (same with pill/sow bugs), so keeping them around as a froggy treat for variety is a good idea.
4. Give it time, you'll hopefully have years for him to get used to you. Limit the handling as much as possible, and always make sure your hands are clean of any chemicals and well rinsed (no soap!). They absolutely don't need socializing though, but in my opinion you should be comfortable picking up your frog for those times that you need to.
5. Bleach is fine on hard items. Be sure it has a chance to completely air dry before the frog can come in contact with it- move him to another container if you plan to use bleach inside the viv. A deep clean like this shouldn't be needed often though.