Go through your results for flights to Lvov in Ukraine with Netflights. Although Ukraine International Airlines usually has the best prices, it's best to double check what's available for your travel dates.
Flexible on dates? Conducting your search by month allows you to compare prices to Lvov throughout the year. For example, prices will almost certainly be higher around August, as this is peak season in Lvov. Accommodation prices will also be higher at this time of year. Flights to Lvov are usually cheapest in May.
But if you're struggling to find flights to Lvov that work for you, try looking at other airports in Ukraine.
Looking at a few different departure airports will give you even more choice. See what you can find. And remember, it's best to book your flights in advance wherever possible.