Looking for room in Central London

Looking for a room in London from the end of July or start of August, as I’m having to move out of my current flat. I’ve been working in a professional job for around a year. My office is near Charing Cross, so I’m after somewhere in Zone 1 or 2 with a quick and easy commute - ideally no more than 15-20 minutes on the tube to Charing Cross or Embankment, or a 20-30 min walk.

I’m a young professional and enjoy running, travelling and socialising. I’m ideally looking for somewhere with a friendly and social, but not too party-heavy.

My budget’s around £1300/month, with some flexibility for the right place.