Some hotels offer bikes for hire; so do shops around Jagdish Temple in Udaipur. Rates are typically Rs. 30 a day. Biking in Jaipur can be dangerous, but elsewhere it's a convenient way to get around.
The cycle-rickshaw is dying out in Rajasthan, but if you do find one, say in Jaipur, it should cost about Rs. 30 per hour. Make sure you agree on a rate in advance.
