First off I advent arrived in Tiblisi yet, so I don't know these neighborhoods from first hand experience.
I have found 2 great apartments. 1 is in Vake and the other is on Pekin Street. The Vake apartment is a bit more pricey, but I have read that VAke is a nice upscale neighborhood. I also read that its hard to find local places to eat in Vake, as its catered to foreigners, so you end up paying a lot if you like to eat out, which I do.
Is there any local feel to Vake? Is it possible to find places where the locals hang out and eat there?