We will be arriving at Heathrow from Rome at 20:25 at terminal 5 and will depart the next morning at 7:45 from terminal 3 to go to the United States. We are US citizens. What is the best option for us to spend the night either at the airport or a hotel close to the airport? Thinking about Yodel but is it fairly easy to get there and depart from there. Not sure if our luggage will be checked through or not. Also, will we go through customs on our arrival in London or do that when we arrive in the US? We will have our passports but we won't have a visa.