I intend to visit Europe this summer (10-14 days) from DFW. I would appreciate any help/pointers in that direction. We are family of 3 including me. I would like to visit London, Brussels, Luxembourg, Paris, Zurich and Rome. Either north to south or south2north. These are my miles

Mine / Wife's

AA - 120,000 / 110,000
United - 20,000 / 110,000
BA - 170,000 / 60,000
SW - 110,000 with companion pass
UR - 60,000
US - 36,000
Hilton - 55,000 / 51,000
Marriott - 70,000
Amex SPG - 90,000
Barclays Arrival - 50,000

If possible I want to save AA miles for future trip to India and wnat to utilize BA and SW wherever I could.

I intend to fly coach to save miles. Would like to go during June July or Aug. you do not have to look for availability, I could do that if I know which airports should I look for where do I start.

Is it possible to get hotels with Hilton and Marriott points above. I do not want to pay for hotel. Is there another card that I could get whose points would be helpful in booking hotels for this trip?