I personally use Sennheiser Momentum Bluetooth on ear(over ears exists). Really enjoy them for music on the go and such. If you are going to play video games i would not use them in bluetooth though. Tried using them on my macbook in CSGO and the delay was horrible, so i started using them with cable but still the directional sound isn't too good. They include a removable cable, witch i personally only used on planes or while gaming. Battery life is really good(22 hrs) but unfortunately they are out of your budget.