There is a Persha (1st (actually 2nd)) division team in Chernivtsi.
There are not that many quality teams from western side of Ukraine. There were teams from Vinnnucya, Ternopil (Nyvas), Ivano-Frankivsk (Prykarpattya) and Yzhgorod (Zakarpattya) that all played in the top division but not anymore.
Closest team i guess would be Karpaty Lviv. Or Odessa if you go the other way. But neither one is all that close.