Budget Georgia provides a private transfers from Kutaisi Airport to Tbilisi and the way back. 

Private transfer
Schedule - Flexible (Based on request)
Prices

• From 1 to 3 persons - 300 GEL BOOK A CAR
• From 4 to 7 persons - 650 GEL BOOK A MINIVAN
• From 7 to 20 persons - 1000 GEL BOOK A VAN