A good way to travel this route is with Sever-Avto buses. The company offers 1 daily departures, with ticket prices starting at $13 and the shortest trip taking about 157. Sever-Avto gets you where you want to go for a fair price.
DV BUS offers 1 daily buses from Chuhuiv to Slovyansk. Though the average price for this trip is $20, you can find tickets starting at $20. The trip between the two cities usually takes about 111.
FOP Osypa S.M. offers 1 daily departures, and you can find tickets starting at $9. The quickest ride takes around 120. FOP Osypa S.M. offers a cost-effective solution to get you where you need to be.