reasonably priced stays near London

Define reasonably priced. London is an expensive city.

Budget in pounds? What do you mean by near London - somewhere you can visit London or somewhere to spend some time not in the city?

Many persons on this site will recommend Premier Inn's. They have great locations and beautiful buildings.

I always suggest booking.com for research as well as actual booking, if you so desire

Dynamic pricing models means that the price of a hotel will never be the same from day to day or even hour to hour sometimes. Depending on your definition of affordable, it could go from that to not, and then back to affordable again, so people can recommend hotels that were affordable for them at the time, but when you go to look at them, they may be wildly unaffordable. "Near London" can also cover quite a bit of territory. I would suggest instead going to maps and focusing on neighborhoods that are of interest to you, jotting down which hotels are in that area and then research them individually. As someone else mentioned, also go to websites like hotels.com, kayak.com, booking.com to see what's out there and what prices are. Premier Inns and Travelodge are two of the cheaper hotel chains in the UK.