You will get the best feel for rates in your area by entering your own postal code into the search feature here at daycarebear.ca I would charge the rate that is on par with your neighbourhood, especially if you're just starting out in the area.
I don't do an hourly rate. I charge a daily rate, and it actually increases for part time, as they are taking up a full time spot. I also charge a 3 day per week minimum.
Hope this helps.