I have been to London a couple of times. We are pretty thrifty folks and stayed at a variety of Premier Inns. It’s a chain, mostly in the UK, kind of along the lines of a Hampton Inn. Nice beds, good breakfast. We are planning a trip in the spring (very early planning stages, mostly just thinking about it). Our D22 will be doing study abroad in London then. I would definitely stay in another Premier Inn for sure. I have stayed in 6 different ones in Britain and have had good experiences in all of them. TravelLodge there is another more budget chain – it’s not the same as the US TravelLodge. It’s like one step below Premier Inn, but like from a Hampton Inn to a Choice hotel. Still good, just breakfast is probably not as good. I can’t remember it to be honest. Maybe they didn’t have a restaurant at all.
I love London. I think it is my favorite big city I’ve been to (which is mostly US cities and UK and Ireland, so not a ton to compare with). London has so many parks and green spaces and I really like that being from the South where we would turn back into a jungle if left alone.
It’s so easy to get around on the Tube too. We always take the Tube from Heathrow into the city. It’s cheap and the Piccadilly line and the Elizabeth line both terminate in the airport so you can just walk right into the Tube Station. When you pick out your hotel make sure it is a short walk to the Tube. From the Tube you can get anywhere. I usually just look on Google Maps to select a hotel. Last time we just had a 24 hr overnight layover and we stayed in one of the Premier Inn high tech micro hotels, Hub, right by West Brompton station and not far from Earl’s Court. It’s not the kind of hotel I would want to stay in for a week (bed took up most of the room) but it was pretty cool for one night and the location gave us easy access to the rest of London. Also had a really cool old cemetery next door where Emmeline Pankhurst (sister suffragette) is buried.
We have also stayed in Premier Inns in Kensington and in The City (near Monument/Bank tube station) not far from the Tower of London. I really liked The City hotel better. I enjoyed being able to walk along the Thames. The Kensington hotel was fine. It was a little older (this was in 2016 so probably updated by now) and our kids were under 16 so we were doing family rooms and it was tight with four of us in it. The Premier Inn family room in The City was much more spacious. We did not walk to Kensington Palace or Hyde Park that time, but I did on our more recent trip from the Hub in West Brompton. The kids took off in different directions on the Tube that time to meet up with friends elsewhere in London.
I don’t think it will be too cold in September. I keep London on my weather app and it’s not that different usually from me in NC just less extreme (not as hot, not as cold, not as torrential, but plenty of drizzly rain).
One weird thing to know about traveling to the UK is they probably will not give you washcloths in your hotel. It’s considered too personal of an item, so if you like to use a washcloth (or “face flannel”) pack your own.
And here is the Transport For London website with all the info on the Tube, busses (coaches), river boats, etc. https://tfl.gov.uk
If you want to take any train journeys outside of London (they are lovely) check out Guide to train travel in Britain | Train times, fares, how to buy train tickets and https://www.nationalrail.co.uk