Welcome to the forums! No problems with a tip or two around here just keep asking questions!

you are def. on a right track with everything here.
Yes 10 gal would work for adult and yes you will need smaller one for a baby. The best is to get well established baby (1-1,5") from reputable breeder or seller. You have lots to choose from, colours/species. keep in mind albinos are sensitive to light, no uvb and only dim light for them.

Uth you need to use on a side only, never on a bottom.

crickets are stinky and annoying and low on nutritional value, best staple is dubia and nightcrawlers.