Day 2
07:45 - Arrival at the airport
Once you arrive at the airport, your travel SIM should activate after a few minutes. You will have an hour to get your leave the plane and collect your luggage. Then you should wait at the Heathrow Visitor Center at the Terminal 2 & 3 Station, which opens up at around 9:00. After it opens you should buy 2 Oyster cards, both with £100 each (£52.80 is enough for the Zone 1-3 travel cap, extra is travel outside of that)
You have a budget of £75 to have breakfest at the airport before heading off.
Once you have gotten your Oysters, you should go to the Elizabeth line platform (which is the only line you can use your Oyster on in the Airport). From there trains will arrive every 15 minutes, which you should ride for 25 minutes to the Ealing Broadway station.
Travel fare caps based on zones.

After arriving, walk forward for ~150-250m to the Premier Inn, in which you will be staying.

10:00 - Accomidation
You will be staying at the Premier Inn in Ealing Broadway for the first couple days of this trip, up until the 5th. This accomidation provides free wifi, air conditioning, breakfest and includes a serve yourself breakfest. Around this location there are many stores (like a really close Co-op) and restraunts around, with the station only being around ~150m away. At the station nearby (and almost every station on the network) you can refill your Oyster card.

You should put down your bags here, get changed and have a shower.
11:45 - Eating
Once you are done setting yourself up at the hotel, exit the building, go right, and keep walking until you reach Popeyes (it is before the station and on the other side of the road). You will have a budget of £30 to fill both of you up.
After this go to the Ealing Broadway Station, and take the Elizabeth line to Tottenham Court Road, and then interchange to the Northern Line where you will get off at Charing Cross.

13:00 - National Gallery
You have been given 3 hours to go around the National Gallery, before your visit you should of booked a ticket for a fast-tracked entry into the building.
https://www.nationalgallery.org.uk/visiting/plan-your-visit
18:00 - Gillray's Steakhouse & Bar
Walk to the restraunts by foot, on the way you may spot Big Ben, the London Eye, and many other attractions. You will have dinner at Gillray's Steakhouse & Bar, which is close to the bus tour after.
Before coming to London you should make a reservation, which is on the website below in the hamburger menu or top right. There is a budget of £300 between you.
Address: County Hall, Westminster Bridge Rd, London SE1 7PB, United Kingdom
Menus: https://www.gillrays.com/our-menus

19:30 - London Bus Tour
The London Bus tour takes place at 7:30, and is towards Waterloo station from the London Eye. This tour will cover most of London's main attractions with a guided commentary. It will take around an hour and 15 minutes.
You will see places like:
- Trafalgar Square
- St Paul’s Cathedral
- London Bridge
- Tower of London
- Westminster Pier
- Buckingham Palace

After the tour is over, go over to Waterloo Station and take the Northern Line to Tottenham Court Road and then interchange onto the Elizabeth line to Ealing Broadway, going back to your hotel at the Premier Inn.