Hello! 

Don't ever worry about message me--you can ask as many questions as you'd like! 

I would suggest putting the clauses together to make sure the repetition has the effect you want: "While my mother was in the hospital, I would live with one (aunt) for six months, then with another for some time." You could also say "...with a different aunt for another few months" or "...with another for a period of time".

Hopefully this helps! =)