I, too, live at 143rd and Metcalf. My kids are in elementary and middle school, but I can give you advice based on our experiences. There are a couple of daycares that are highly praised here and my daughter attended both. They are different, depending on what you're looking for. The first is with Lord of Life church on 135th Street just east of Mission Road. This is probably 2-3 miles from your place. I personally know several of the teachers there (they are moms of some of my kids' friends) and they are GREAT! They love these little guys and my daughter really liked going there. There is also Small Beginnings Montessori at 158th & Metcalf. ###-###-#### I LOVE Montessori (if it is TRUE Montessori). This school seems to use SOME of the Montessori principles, but not all of them. This may be an option for you if you later, when you're ready to get your oldest some prep for "K".
You will find Blue Valley schools are among the top in the country. I actually split my family up (my husband lives and works in TX and only is home every other weekend) because I don't want to leave the kids' current schools. The education they are receiving is FABULOUS and we've got lots of past experience in other areas of the country to compare it to!
As for pediatricians, I HIGHLY recommend Pediatric Partners. ###-###-####. They are not the closest ones, but they are very good and came highly recommended by our previous Pediatrician in the DC area.
Eye Dr... Dr. Stephen Lile. He's ###-###-####. He's with Discover Vision at 11705 Roe. I have trouble with my eyes and he's 'right on' in working with them. I'm very happy.
GYN - Dr. Henry Bishop. He's really great! He's with Kansas City Women's Clinic. They have 2 offices. 1 is at 123rd & Metcalf. ###-###-#### is one of their numbers. Make sure you're talking to the METCALF or St. Luke's South office, not the Quivira office...
While I like my dentist very much, he's very expensive and I'm going to make a move so I won't make that recommendation.
If you need a vet, I actually go to Camelot Court at 119th & Roe because I had a dog who was VERY ill when we moved back here, but I have been told that Lionsgate Veterinary at 143rd and Metcalf by Pippino's Pizza (which, by the way, is the BEST pizza around) is good, thorough, and reasonable. I also understand that they don't recommend a slew of procedures just to rack up your bill.
I'm not so 'up' on playgroups, etc. I know there are MANY around. Lionsgate (the neighborhood group near your home) has lots of these going on all the time but I'm not sure how these moms found each other. My kids were beyond playgroups when we moved here. Try through preschool/daycare or church.
Church of the Resurrection (COR) is a GREAT church. (137th & Nall) It's HUGE, but I think you'd be surprised about how you feel if you attend. There are TONS of small group opportunities, including many that will certainly interest you trying to meet other moms and be in playgroups, etc. There are groups for people suffering with depression, in job transition, divorced, widowed, financial struggles, prayer groups, a zillion bible studies, women's groups, LOTS of youth activities, and MANY more. I know there is one that meets in the mornings that is moms getting together and talking about how to be great moms. Suspect it would be a great place for playgroup discussion! Don't be intimidated by the size of the church. It's AMAZING! (you should visit it early on!) They also have a preschool there, as well and I know they used to have waiting lists for some age groups in it. ###-###-####.
So, did I miss much? Welcome to the area! You will LOVE it! We lived here, left for 12 years and CAME BACK because this is such a great place to raise a family. Good luck!