Most mountains have a kids ski/ board school. They have day/ week long programs, that are really tailored for kids. They get booted and suited up, go outside and get some learning, pause for hot cocoa and a bathroom break, learn some more, pause for lunch, learn some more, apple cider and donuts and bathroom in the afternoon, then frolicking till 4.
I think the best thing you could do in terms of their learning is to make sure that you pair them with an enthusiastic teacher, and give them a blue sky day.
On east coast mountains, daycare is roughly $100 a day, "ski school" is roughly the same amount. beginner group lessons are about $60 and include a 2 hour lesson, rentals and a lower mountain lift pass.
Good luck to you and yours,
F. B.