As you meet your new neighbors and make friends within your community you will (hopefully) start giving out your contact info.
Here's an idea!
Give them something other than your name and number scribbled on the inside of a gum wrapper you just dug out of your purse.
Make "family" cards with all your new info, kids names, whatever, to hand out.
You not only instantly appear to be so awesome and put together that everyone will want to be your new BFF, but it also helps save you the embarrassment of admitting you haven't memorized your new phone number after 3 months....