I will be travelling to Ukraine for a 1-2 months and I am wondering if I could bring my personal computer with me (for personal use of course), or is this prohibited?
There is already a similar question posted here -> Can I bring my desktop computer as check-in baggage on a flight?
Basically the answer is yes but with some precautions to consider -> https://travel.stackexchange.com/a/16267/39061
As others say: yes, you can.
I would however recommend shipping it to the destination instead of taking it with you. It will mostly prevent damaging your computer.