Hi Yogi - just punting around at the moment. Can't get a direct flight from a London airport into Bodrum in January. Direct to Izmir is more expensive than Istanbul. However, can fly to Istanbul and then on a connecting flight to Izmir. Didn't really want to do that, but looks as though it might be a cheaper option. Also, I don't think I like the time on the road from Istanbul.
If you are coming on the Pegasus Flight from Stansted, there is a connecting flight to Bodrum, very quick turnaround between flights but only a short distance to walk and on to the next flight, they give you Boarding Pass while you queue for Visa/Passport control. All quite simple and straightforward. No time to visit Dutyfree though!