Congratulations on the new job! We moved to Indy last September. We LOVE it! We rented for 6 months and ended up buying a house in Fishers. Broad ripple is a great area if you are going to rent. There are many house for rent since they aren't selling too quickly.
As far as tactile learning.... We belong to a co-op preschool. It is wonderful. Total play based learning. There is a large group of co-ops throughout the city. Two have kindergartens. We belong to NorthEast Co-op preschool and kindergarten. It is the one actual co-op Kindergarten that is 5 days a week, 9-12. They have a class of 12. There is one other co-op kindergarten in Indy, I'm not sure how full they are. I'm pretty sure the north east kindy is going to be full next year but you never know. There are 18 4 year olds this year and most are at least considering kindergarten. We haven't decided yet. Open enrollment starts in, I think, February. Here are the links to check out the other as well. You can also check out the whole slew of co-ops for your younger child. Coop is such a great option because it's a family. You help out in your childs classroom and you get to know everyone. I LOVE IT!!!http://www.necoop.org/http://www.preschoolco-op.org/
If you go live in IPS school district you don't have a lot of options in public schools. There is one option I looked into that really interests me. The key Learing community - http://www.616.ips.k12.in.us/
You are accepted into the program via lottery if you live in the district and if one child is in, the second is in automatically.
Lawrence Township has great schools too. They have several magnet schools that have different concentrations. It's also a very nice place to live in the Castleton area. They have an international school, schools that have concentrations in math or science etc... I have a friend with a son in the stretch program which is for giften kids. The magnet schools are also lottery based. They do some really cool stuff.
There are many private kindergartens and preschool that vary from chuches to day cares.
Those are the only questions I can really answer. I can say that Fishers/Carmel are some of the very best schools and places to live in the country. Fishers was #1 on at least on major list last year and in the top 10 of three. I know families with several kids, which is very normal here, move here for the great public schools so they don't have to pay for private schools in Indy.
There is another woman who regularly posts that really helped me when we moved here. Her husband was a biker so she can give you that info. They actually moved around with his jobs because he biked to work. I think she is mary3mama I'm sure she will be around or you can pm her for that info.