Our hotels typically provide basic soap, shampoo, and conditioner in each guestroom, however depending on your personal choice, you might want to bring your own. Toothpaste, mouthwash, shampoo, conditioner, sunscreen, deodorants, etc., are all available for purchase nearby our hotels, but they may not be up to standards you are accustomed to.
Bathrooms, especially in Ukraine, may not be up to your expectations. Often while traveling to remote villages or on a city tour, there will be limited opportunities to use a bathroom facility. When in the villages in Ukraine, if there is an immediate need to use the bathroom, you may need to use the bushes. If their is a bathroom available, it may cost money, may not be very clean, and likely will have a squat toilet (which looks like a hole in the ground). We recommend bringing a roll of toilet paper from the hotel during your village visit days.
For more European bathroom tips, I recommend reading this article by Rick Steves.