Here's a reasonable build for a kick off:
DJI F450 kit - £131 (includes frame, motors and ESCs) or F550 kit (£232) if you fancy a hex rather than a quad
Turnigy Nano-tech 5000mAh 4S lipo
FrSky Taranis transmitter - £180 (includes X8R receiver)
DJI Naza-M V2 - £191 (get this rather than the Lite as you can't add items such as the iOSD or Zenmuse with the Lite)
Decent, cheap LiPo charger
You can get the Naza-M V2 with the F450 and F550 as a package if you want to save some money.
DJI F450 kit - £131 (includes frame, motors and ESCs) or F550 kit (£232) if you fancy a hex rather than a quad
Turnigy Nano-tech 5000mAh 4S lipo
FrSky Taranis transmitter - £180 (includes X8R receiver)
DJI Naza-M V2 - £191 (get this rather than the Lite as you can't add items such as the iOSD or Zenmuse with the Lite)
Decent, cheap LiPo charger
You can get the Naza-M V2 with the F450 and F550 as a package if you want to save some money.