Hi, Maria
There are several hotels worth consideration in Lutsk. Ukraina (
Hotel in Lutsk - Ukraina Hotel - hotels in Lutsk, Lutsk hotels, hotels of Lutsk, excursions to Lutsk) is the most popular. Comparably good service. Downtown location. Surely, it's possible to find some cheaper ones (
Lutsk / Ukraine / Hotel / Restaurant / Map / Picture / Hotel maps) but you'll have some difficulties with getting around the city then.
As for Lviv, there're more opportunities of finding a good hotel. Prices vary from 15 USD to 200 and more per night. Most of them are here
L'viv / Ukraine / Hotel / Restaurant / Map / Picture / Hotel maps . I could recommend you some if you specify your needs and expectations.
Easter is a popular hoilday here, so it'd be wise to book a hotel in advance.
Contact me if you need help with your trip. I'm located in Volhyn region&used to live in Lviv for several years.
Have a good day