Weather in Bodrum is always warm to hot to flaming hot!!! July and August are the hottest times over 30 deg C so take lots of cool clothes. This year the temperature in August was over 50 deg C.  October is still warm in the 20's but evenings get chilly so a jacket, cardigan, jumper is needed. The days are still warm enough to sun bathe swim etc.

 The best time to go to get around is May, early June, end of September and October. However, if you're a sun worshipper July and August are the months for you! There is a breeze along the coast and most places have air con. Although using a fan seems to acclimatise the body better.