We are going to London.
I went to the supermarket.
They arrived in Paris this morning.
Call me when you arrive at the airport.
Do not use ‘to’ after ‘arrive’. However, we do use get to with the same meaning as ‘arrive in/at’:
We got to Germany that day.
When you get to the church, turn left.
Note that when the noun is home, we do not use a preposition:
Do you want to go home?
I spent a month in Australia.
Wait for me at the station.
We also say at home with these verbs:
I decided to stay at home.
However, we can also use in for buildings if we want to emphasize that we mean the inside:
I’ll meet you at the café. (could be inside or outside)
I’ll meet you in the café. (inside)
Note that you don’t usually need a preposition at all after leave:
I left the office at 6.
The train leaves Cambridge in ten minutes.
However, we sometimes add from when the subject of the sentence is a vehicle, when the place it goes from is important to know:
The train leaves from platform 4.
He goes to work by bike/train/car.
However, to talk about being in a vehicle, we say we are on a bus, train, plane, bike or boat, but in a car or taxi:
I like to read when I’m on the train.
We went there in a taxi.
Talking about travel is very common, and students often make mistakes with these prepositions, so it is worth taking time to remember at least these basic rules.