I use property services altinkum. The driver speaks excellent English. His wife is English and is called louise. Property Services Altinkum - Property Management Home Service Didim only 35 pound up to 4 people private transfer from Bodrum to Altinkum. Tel 00 90 5397175577
I can recommend A2B Transfers. They took me from Bodrum Airport to a hotel in Gundogan (a lot further than to Bodrum) for £11....return!!!
It was in a mini-bus with others so you'll have to wait your turn. Alternatively there is a bus (Havas) from the airport to town, it coincides with the Turkish Airlines internal domestic flight landings.....you'd need to check it online.
Thanks for all the comments...I will bare these in mind in the future.
I have now booked with 'Bodrum Transfers' as I will be travelling alone and arriving during the evening. Taxi from airport to Hotel address in Bodrum 24 euros.(1-3 people),
pay driver on arrival.