Welcome to Chicago, from a fellow Minnesotan! We live in Westmont, which is the suburb directly to the west of Hinsdale. Before I became a SAHM, my son attended Peter Pan in Westmont, on Cass Ave and 67th St. He did really well there, and all of their teachers are highly qualified. The center is bright, airy, and they have a fantastic outdoor play area. They have one area which is open-air which has their jungle gym, as well as planting beds for their little seedling projects. They also have another area that is outdoors, but covered, so even during inclement weather the kids are able to get fresh air and use their energy. The director's name is Natasa. I believe tuition for 5 full days for a 1 year old is $250/week, but not sure what the 5 year old's would be. Welcome to Chicago childcare prices!! There definitely are cheaper alternatives if you choose in-home childcare.
This fall my 3 year old will be attending Holy Trinity's Preschool, which is also on Cass in Westmont, but a few blocks north of 55th St (so a bit closer to Hinsdale).
As for physicians...my hubby is an adult medicine doctor, and we bring our children to Dr. Greg Ozark at the Loyola University Medical Center's clinic in Darien. It is on 75th St & Lemont Rd, in a strip mall next to JoAnn Fabrics. Dr. Ozark is fantastic, as are the other docs that we have seen there. If Dr. Ozark is not available, our next choice is always Dr. Brent Rieger.
Wish I had a suggestion for pedontist, but we're still looking for one for ourselves as well :) Hope your move goes smoothly!!