We're hoping to keep the rent at 1000 pounds/month with bills, so a bit less if bills aren't included. A studio or 1 bedroom is cool, but we want our own kitchen, bath, and no roommates. Is a 20 minute or less commute still feasible?
From my experience flat hunting, if you're looking for a 1 bedroom flat all to yourselves, you'll be looking at a commute longer than 20 minutes unless you can afford quite a bit to rent closer to central London.
I live in Zone 3 with a 1 bedroom flat at £900 month (NOT including bills and council tax) and my commute into central London is 1 - 1.5 hours.
EDIT:
Thought I should add - I live in west London, and east London may be cheaper.
Also, if you do find a place that's very affordable, it's probably best to try and visit first. I found quite a few places that were more than affordable closer to my work; however, when I visited, I found some of the properties were in locations I wasn't too comfortable in or the property had some serious problems.