Moving to London and Looking for an area to settle

Hi!

I'm relocating to London in two weeks and was wondering
where shall I search for a property to rent.

I will work on London Bridge St. and considering no more than 45 minutes of commute.
I have 1 year old daughter and one more baby on the way, so it's really important for me to settle near child care and health care centers, parks etc.

Could you please advice?

Thanks!

Gal.