[Drongo]

I'm looking for some new headphones with the following properties:
 
Wireless connectivity to my android (i.e bluetooth)
Wires incase the headphones run out of battery
Headphones with a mic attached for gaming
Headphones that sound good when connected to my guitar amp
 
I want to be able to satisfy all these conditions with the smallest number of headphones possible (1 or maybe 2) within a budget of £100. Is this possible and where do I start, given that I know very little about headphones?

 

[Drongo]

I've been thinking about headphones some more, and all I want now is a pair which has these properties:
 
Bluetooth
Wired (for when battery runs out)
Sweat resistant (for using in the gym)
 
Anyone know of any headphones that satisfy these criteria?

 

[ssrock64]

There's no way you'll satisfy all of that at your price point with headphones that don't completely forget what sound it. Anything under $100 that's both wireless and has a mic tends to be a gaming set, and gaming sets have basically zero sound quality.