As you know, at least 1 parent must be residing in Canada as the sponsor during the entire application processing of your child. If the baby is American citizen, then you should be able to bring her to Canada with a visa-exempt USA passport.
Fees for PR should be:
$75 Sponsorship application (per application)
$75 Principal applicant who is under 19 years of age, unmarried and not in a common-law relationship
$490 Right of Permanent Residence Fee