You can immigrate to Canada even if your passport is < 6 months valid at the time of entry. I recently immigrated and my passport was due to expire in 5 months time. All that matters is you are immigrating within the deadline mentioned on your COPR copies. CIC would have considered your passport expiry dates before giving that deadline. So don't worry.
Once you enter Canada, you can apply for your daughter's passport renewal to BLS.
(BLS takes in application for passport renewal even if passport has expired. So don't worry about passport now. You can always renew it after reaching Canada.)
Goof luck with your immigration. Have all documents in place.
If you are flying to Canada, it is helpful if you carry a list of items you are bringing to Canada.