Many airlines fly to Dalaman from UK airports including Aberdeen, Newcastle, Glasgow and Belfast. There are daily flights from Birmingham to Dalaman.
Easyjet flies direct from Edinburgh to Dalaman on a Tuesday and Saturday and start on March 31, 2020.
We find skyscanner a useful starting point when looking for flights to Dalaman in Turkey.
Turkish Airlines now fly from Edinburgh airport.
Jet2.com fly to Dalaman airport from East Midlands, Glasgow, Leeds Bradford, Manchester and Newcastle. Flights from Newcastle and Glasgow start from as early as May.
Pegasus Airlines is also worth considering as their prices are quite reasonable if you don't mind a connecting flight through Istanbul.