I would suggest a preschool program. These are typically offered by local churches. I don't believe they let 4 year olds enter public kindergarten. Private schools, sure, but not CMS.
There are some Pre-K programs in CMS, but they're Montessori-based and difficult to get into. The lottery for those programs end in June. There are other magnet programs that are great:
Home
There's also Bright Beginnings Pre-K for CMS, but it's typically for at risk children in low performing districts.
If you're looking for good neighborhood schools: Eastover, Dilworth, Sharon and Selwyn Elementaries. They're all located in desirable neighborhoods and have great test scores.