Both destinations are served by Rudra Mata (BHJ). Since there's no flight route between them, the best way to travel is by road.
Kutch
Fly to Rudra Mata (BHJ), then travel by road to Kutch. Taxis, buses, and private cabs are available from the airport.
Bhuj
Fly to Rudra Mata (BHJ), then travel by road to Bhuj. Local transport options include taxis, auto-rickshaws, and state buses.