Hi,
I did a trip across Ukraine last summer.
I don't know what your plans are, but you're probably not going to be able to get to Crimea. The border is simply closed as far as I know, there's no traffic - not even trains. Also you won't be able to get to any part which is not under Ukraine government authority (Donetsk, Luhansk). I've been told there are checkpoints on both sides, and even locals wanting to get to the other part transit through Russia.
You're also asking about borders. I entered Ukraine through the Polish border in Korczowa. Not much to say except there can be long waiting lines and officers on the EU side were not quite motorbike friendly... In contrast, very cool on the UA side.
I quit UA by getting into Moldava near Vulcanesti. All fine, overall very cool guys. You should avoid crossing the border into Transnistria though if Moldava is part of the plan.
Roads are in a pretty bad condition in Ukraine - worse than what I imagined before leaving. Mind the potholes  Also, Ukraine is not really a country where you're going to have much fun riding your bike, there aren't twisties like in Greece or in Italy. The Western part is still fun in the Carpathian mountains, the East is very flat. Traffic is OK, a bit rough in larger towns but nothing special.
Nick
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