I happen to have miles in a few airline programmes and almost all of them are about to expire.
JP miles: 40,000
BA Avios: 30,100
AA: 10,000
Citibank Premiermiles: 40,000

I need a flight from BOM-NYC (JKF preferably)

Could you guys suggest me ways to redeem these miles. If I'm lacking a few miles I'm ready to buy the difference or I'll top it up with Citibank miles.
Any suggestions would be helpful.