What is the process for getting housing on or near a military base and child care?

My hubby will be returning soon from his deployment. He is currently a Private First Class but he is hoping that he will soon be eligible for promotion. My father and grandfather (one of my grandfathers!!) were in the military. They both served prior to getting married so their experience might be different from my husbands. Both of them lived in barracks on base. Sometimes they tell stories about their experiences but what I've gathered from hearing them is that both lived with many other men and had a bunk bed lined up with the beds of other soldiers. My husband and I and our daughter want to live together on or near his base while he reports every morning for military duty (except Saturday and Sunday and Federal Holidays lol lol!!). What generally is the process? Also would I be eligible for child care? I'd like to register for classes at a nearby universities. Do military bases have universities nearby? Can I get a discount rate for classes? Do I have to pay out of state tuition? I am a Mathematics Major and finished a lot of the requirements for an Associate of Science (two year degree). I'd like to major in Applied Math with an emphasis on Statistical Analysis. Can I do that while my husband is serving in the capacity as a Private First Class or hopefully Specialist 4?