I can't recall ever having seen one in my 10 or so trips to Ukraine, Lada don't make motorhomes :)
Please take security into consideration, where are you going to park it to sleep in and it's not going to be safe to leave valuables or money in, go for an apartment or hotel.
Cheers Martin...10 trips you say...i hope you have more positive memories than negative.
I stayed in an apartment last time there...top quality too...i just missed the freedom's we so often take for granted in the west... like a mobilehome...they certainly would put an end to all the additional bookings one has to make when multiple destination's are desired...among many other benefits too.
Of course security and maintenance would be paramount consideration's.