First off, congrats on the successful breeding! When you have the time, we would love to learn more about your crabbies and your tank!
Like the others said, take a look in the health and breeding section, particularly Curlz, Nat_addicted to HC's and Naalide topics. They are a great starting reference. Even giving these guys a quick PM might do wonders.
I would personally move them to the smaller aquarium, where they are now probably isn't the best for them. Most likely the crabs are going to make tonnes of mess and with all these tiny bodies in the water dish, ammonia levels could grow through the roof.
If possible, get some small microscopic foods going. They going to need it, either now or later (depending on species).
Do I need to buy tiny shells?
Well, not necessarily now, but down the road, you will. If you're near a pet store that sells shells (grit) for birds, buy a bag. Inside it should have loads of tiny shells. Your looking for shells that have 1-3 mm opening.
As for how long they stay in the water, it depends on the species.. (Hence why we love to learn about your crabitat!)
They have 3 "basic stages". Zoea - where they undergo multiple phases" - megalopa - the stage where you should buy shells, they almost look like baby hermit crabs - and hermit crabs - they come ashore and do their very first moult, turning into the miniature version of hermit crabs that we know if.
Word of warning, like soilentgringa said, raising hermit crabs in captivity is a very challenging - but rewarding - process. Don't be disheartened if they don't make it, its very common for people to have " few goes at it" before they get them to land. After all, all of the people who have managed to get them to land do their "routine" for each batch, sometimes it works sometimes it doesn't.