I guess the main and most important information is how much are you willing to spend on an apartment per month? Your options are vast; however you could pay $500-$1,200 depending on the location. Off the top of my head I would recommend Carmel, Fishers, Avon, Brownsburg, as they are all close to the interstate. You may want to consider renting a house instead, since the market is still soft there are some owners who need someone desperately to rent their home and will probably be very negotiable. Fishers (Hamilton County) has been named by Forbes and Money Magazine as the best place to relocate in Indiana, and the best place to raise a family in the country for its market size.
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http://www.mibor.com/resources/search.asp (Select Residential Lease from the drop down box, and select your counties. You can then narrow it down by price, bedrooms, etc.)