Children under five are unpredictable. YOu have to mentally prepare your kids, tell them that you need to study, and they should cooperate. Then, you get them excited with their own education. So, they would busy work on their math and english books instead of bugging you.
But however, you'll need to spend time with your kids a lot in the weekend.
But never let anything or anyone discourages you from going to dental school. You may even ask for permission to do a five yr program instead of four year.
And I suggest that you try to get into your cheap state school. It will help greatly.
Best of luck
