You need a health care card, not a SIN. AB health will cover you from day 1 but in case you can't get the card right away, if you need health care and have to pay, keep receipts and send them in to get re-imbursed.
http://www.health.alberta.ca/AHCIP/contact-AHCIP.html will show you where to apply. For your daughter, take her passport with you, for yourself, your passport and PR landing documents and something verifying your address. Could be a statement from a bank saying you opened an account and gave that address or for a cell phone whatever. Something official showing your name and your address. That's your proof you are living in AB.