M.S.
Zerorez. http://www.zerorezminnesota.com/?gclid=CMWJ6q28xqYCFce7Kg...
Polite, prompt, only use water and no soap or other chemicals.
We were actually home when they cleaned our carpets, but we have a good section that his hardwood so we had someplace else to go. I don't know that you'd have to keep baby out of the house, though it is noisy. You won't want to be doing a lot of walking on the carpets for a few hours until they start to dry.