Places to visit in India

Use the website http://www.incredibleindia.org/#/travel/destination to research the destinations.

For luxury hotels visit :-)
http://www.tajhotels.com

For self booking of package tours and flights visit
http://www.ezeego1.co.in/india-holiday-packages/

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State Rajasthan (Central India, North of Mumbai)
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Cities to Visit in Rajasthan.
Jaipur - Pink City, Capital of rajasthan, connected by air (http://www.incredibleindia.org/#/travel/destination/jaipur)
Jodhpur - Famous for Forts, Palaces
Jaisalmer - Famous for Forts, Palaces
Udaipur - Famous for Forts, Palaces
Ranakpur - Famous for Jain Temples
Package tours - http://www.ezeego1.co.in/holidays/india-packages-rajasthan-3399#!1

Cities in Uttar Pradesh (state neighbouring rajasthan)
Agra - Taj Mahal - No introduction needed !!

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State Kerala (South India, South of Mumbai)
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Thiruvananthapuram - Capital of kerala, connected by air
Kochi - Another major city, connected by air
Munnar - Hill Station, famous for Tea and Cardamom estates (http://www.incredibleindia.org/#/travel/destination/munnar)
Kovalam - Very good beaches
Allepey, Kumarakom - Famous for backwater house boats - In your package choose the option to stay one night in the house boat
Thekady - Wild life sanctuary 
Package tours - http://www.ezeego1.co.in/holidays/india-packages-kerala-3398#!1