First post here, seeking some inputs.

I have few queries related to Carry On Baggage for USA to India Travel. I am currently in USA and will be traveling back to India in November end / December first week. The port of entry for me is Dallas (DFW Airport) and i will be landing in India at Mumbai (BOM).
I have traveled earlier from Mumbai to DFW on British Airways and i used to take 1 carry on bag (with wheels, proper cabin bag size) and one laptop bag (backpack) which would stuff with lot of things. Never had a problem with them.

Now for my return i have been given the following options (as of now) for my travel from DFW to BOM..

DFW - LHR - BOM - BRITISH AIRWAYS

DFW - FRA - BOM - LUFTHANSA

DFW - DXB - BOM - EMIRATES

DFW - EWR - BOM - UNITED AIRLINES

Now BA looks to be the safest bet because i have traveled in this before so i know what i can carry. Also the BA website does mention 1 Carry On and 1 additional laptop bag.
But i checked the option of Emirates and Luftansa and on their website there is no mention about the additional laptop bag so i am bit concerned.

Should i play safe and try getting the British Airways ticket so i dont face luggage hassles ?
Or if someone has travelled from USA to India on any of the other airlines and know how the carry on rules apply, would appreciate some know how on that.