Cheaters have more accessible ways to meet these days. Most of the meet-ups happen through cheating dating apps. First, people register, specify what they want, and find compatible partners. Next, they communicate and arrange physical meetings.
The face-to-face meeting can happen in hotels, bars, clubs, or other places where they cannot get caught. Those places also have a quiet area and anything else that cheaters need to feel safe. A place like a hotel has rooms. So people that want to get intimate can book one.