Investing in a decent pull up bar is always a good idea even if you live in a small home. The Techmoo Smart Pull Up Bar is a 600lbs rated pull up bar with a LCD display that displays your reps. It can be adjusted to fit door frames from 27.6 to 36.2″.
You can install this pull up bar without any drilling. It has a bubble level to take the guesswork out of the installation process. You can find out more here.