I am thinking about making a battlemage but I need to know what is a good race and what perks I need to focus on. Can anybody give me any suggestions?

That's a very general and broad area. There are literally hundreds of combinations, if not thousands. I favor...

Heavy Armor
2H
Block
Conjuration
Restoration
Destruction

Race can easily be any. It simply comes down to what you want.

Of course need to add in...

Smithing
Enchanting