Some background: this trip was originally my 40th birthday present from my now ex-wife. We've since divorced and I'm insistent on going by myself, as something always seems to come up and ruin my overseas travel plans. So, I want to treat this as a sort of growth/healing/looking forward trip.

About me: I've traveled quite a bit but I've never been outside of North America. Europe is completely new to me. I am very fond of football, food, beer, hiking, history, and new experiences. I prefer to stay away from tourist traps and I'd rather find hole in the wall type places that are recommended to me by locals. When I travel somewhere, I want to immerse myself.

I'll be there for ~9 days and I have the first 5 days fully worked out. What I need help with is figuring out what I want to do in London for the last 3 days of the trip before I head back to the airport. Other than going to a Fulham game next Saturday, I'm completely wide open. I would prefer to stay in the greater London area since the first half of the trip already involves quite a bit of travel.

I'd love to hear your recommendations do's/don'ts, or general guidance. I'm open to pretty much anything.

A pretty quick work trip has been planned. I will fly into Heathrow Saturday morning. I'll have until Sunday evening to get to Warwick. I'll be in Warwick for 5 days before flying back out the next Saturday.

I'm looking for any general advice but also if there is anything specific to the following:

• I'm going to book my own hotel in London the Saturday night I fly in. Saturday and Sunday are essentially my "tourist" days. Where is good to stay? Not too concerned with price.
• I'm taking a train to Warwick and mostly have that figured out but is there an app or pass that I should add to my Apple wallet for transit around London?
• I like museums of all types. Are there any in particular I should check out?
• Any classic pubs or restaurants I should try to get to?
• Once the week starts I don't think I'll have much time to do touristy stuff and I won't have a car. Any recommendations on things around Warwick/Birmingham that I can get to some evenings via train or bus?

Looking for ideas - we're two adults in our mid-30's, no kids. We'll be leaving a wedding on a Monday in Ipswich but our flight home from London isn't until Friday. We'll be spending a week in London beforehand so we'd like to explore the countryside.

The only thing we've (sort of) landed on is seeing/staying in the Cotswolds, and touring some castles (holy crap there's a ton to chose from). We're not big drinkers/partiers but I'd like to be able to go hang out in a real English pub and stay at a Lord-of-the-Rings kind of inn (I already found the inn that the Prancing Pony is based on - thought not sure if we want to stay there).

Other random thoughts. Unfortunately our schedule doesn't seem like it'll line up with any Premier League games. Not planning on renting a car but can if we absolutely must. Would kind of like to stay in one spot since it's only 3 nights.