tim drake childhood living situations
#1 robinson park penthouse apartment
batman #480
the first named downtown apartment, the robinson park penthouse is the home that jack wanted to move into with tim following his coma. given that my guess would be that this was jack's personal favorite of their places given this is where he wanted to go
#2 the city apartment in mooney towers
robin #3
now, this one isn't necessarily a *confirmed* childhood home--honestly the way he calls it his dad's city apartment could also maybe imply that it's an apartment jack got to following their move out to bristol (as he notoriously had a lot of trepidation about the idea moving out to the country/bristol/drake manor, as detailed in batman #481--seriously them moving out to the house in bristol was enough of a plot point it got an issue where it explicitly happened. jack gets swooped by a bat immediately. ~symbolism~) so that he had another place down in the city to stay in if he had stay overnight there for whatever reason after moving out to bristol. but that's also not confirmed, so it's fair to include this also as a possible tim drake childhood apartment location. as for where in the city it is, i believe it's never specified but he explicitly mentions it's closer to ariana who at the time is living in little odessa. my best guess would be that little odessa is a bit adjacent to the upper east side, given the connection with helena & her presence there in cry of the huntress. therefore i'm inclined to place mooney towers somewhere in the upper east side/coventry vicinity.
the condo that jack, dana, and tim end up in following drake industries going bankrupt is stated to be one of their previous properties, and the only one they keep after selling everything else. we know this was a childhood stop of tim, as he mentions they wouldn't go their often, but they'd use their downtown place when they had certain plans in the city where the condo would be closest--mentioning art, galleries, operas, etc. so he likely didn't live here a ton but it is a possible place. it just says location downtown, but given it's within walking distance of those places and the opera house is on the southwest part of the city per the NML map in the area it says is the upper west side, i would assume the condo is there.
batman #445, robin iii: cry of the huntress #4
unnamed, but there are implied to be various. (fernwood is the one in metropolis that jack wants to send tim for a bit, but he obviously never goes).
and that's it for confirmed/named places. as far as any other places they may or may not have had, the sky is almost the limit tbh. tim mentions moving around a lot as a kid, so you certainly don't have to limit yourself to these 3, but you're far more likely to find him in gotham proper vs anywhere else. drake manor is out as they explicitly buy it in batman #481 after tim is robin. during jack's coma era, tim is fostered with bruce.