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Travel by bus/train in the night. In day time you can use taxi.

If this is your first time in India and you do not know the local language , I would suggest you stay at some hotel in Lucknow and travel by day. If it absolutely necessary to travel at night, then I guess take a taxi from some reputed company . You can check the net for taxis availability and about the companies which give them out

Lucknow Amausi airport to kanpur = 55 kms. prepaid taxi service is available at Lucknow airport. Take a taxi - there is no other way out. It will cost you around Rs 1100/-.

hello you can travel at night and book cab and taxi for Lucknow to Kanpur in affordable price, here listed best three company choose as your requirement and take service

http://www.taxicabcity.com/taxi-in-lucknow.php

At night train, by day taxi .A bus is fine twenty four hours. Use a deluxe A/C coach.