Hi, I am an chicagoan living overseas in Malaysian.
So, I am somewhat familiar with the community you seek.

You will probably be more comfortable on the North side of Chicago.
But, your best bet is to research temples and contact them directly for recommendations on where to stay. If you live North you won't have any trouble getting around. You need to ask yourself do you want to live close to your husband job or close to "Little India". Chicago has everything China town, Little Italy, Greek town.

As far as safety goes. Right now Chicago is up for grabs. You are from Bombay so I am sure you know how to handle yourself. I grew up in the city and I am pretty conservative. I don't go out at night without my husband. I don't carry a purse only the one that I can strap around my waist.

You will need someone to show you the ropes. Good Luck