First of all, how on earth did you type like that?!?!
Are you looking to rent or buy? "Condo" is a term used here for apartments that you buy. I assume you mean, you are looking to rent an apartment or a house? Germantown, Bartlett, Collierville are all suburbs that have okay public school systems and should have a fair amount of rentals. Otherwise, I have heard of many private kindergartens being $5000 or more, and as your child gets older the tuition gets much higher. Due to the crummy schools, many people send their kids to private (maybe half and half?)
As for a pool...not sure. Most apt complexes that have pools get over-run with kids, college students, and kids who don't live there (as in, they sneak into the pool and then go home afterwards). In the apts I have lived in all over Memphis and the burbs, the pools have been a headache.
So you do not want to buy at all? There is a new condo complex in Midtown, converted from apts to condos recently. VERY CHEAP. I am faint of heart actually seeing the prices on these condos....$150k for a 3BR or so. but, they look cool and they have a pool. In town though, which you stated you were not wanting.