Determine what you want from new mommy connections. Look into playgroups which are designed not just for the kids, but also for moms looking to make connections, sip tea, and share a few laughs. Discover your neighborhood parks. The best time to go is midweek between late morning and lunchtime or right after lunch. On weekends, parks are often populated by daddies.
Some malls organize stroller walks for moms with small kids.
If your mall isn't doing this, ask the community relations or PR person at the mall to help you start one. Look for moms dropping their children off at childcare during the services. Communicate with other moms at the mall or grocery store, or stroll through your neighborhood on a nice day, and suggest a play date with a mom you might meet. Put notices up on bulletin boards at your spiritual center, your childcare or a babysitting service, or at a children's clothing or toy company. You may want to consider putting your phone number or email on the flyer.