Is there a type of cell phone that I can order in the United States that can also be used in India?
I believe India is on the GSM system. Any GSM-capable phone should work there. IIRC, both Nextel and T-Mobile offer GSM phones here in the U.S.
Unless you plan to use this phone in the US as well, I’d suggest you buy the phone in India. It’s cheaper.
Bombay, certainly has a lot of outlets, where you can get a huge variety of cell phones. I’m sure, so do Delhi and Bangalore.