Need help with suggestion from locals

I am from Mumbai and looking at a trip to Gujarat. I will be flying from Mumbai to any of the airports and flying back as well. I am not sure of the best means of commute within the state. Primarily want to go to Dwarikadhish and wish to visit some Gujarat cities/places(I think Ahmedabad will be a nice place: Sabarmati river front, Manek chowk etc). I can make the trip of 3-5 days. Would it be good to fly to Jamnagar and then go to Dwarka via taxi. Stay there for one day and then take bus to Ahmedabad. And probably spend couple of days there and be back. Can visit somewhere around Ahmedabad and be back to AMD to take flight or probably take from that place itself if it has an airport. I am okay taking cab as well but would prefer bus. Would be really thankful if someone can give their opinions/suggestions/feedback.