Once you have a pull-up bar, consider also investing in rings to hang from your bar so you can work on your shoulder strength from various, challenging angles.
For beginners who aren't able to do pull-ups, rings lend an opportunity to adjust your angle, thereby decreasing the load, as in the Incline Row. As you get stronger the angle can be made more challenging by raising feet horizontally until the athlete has the pulling strength for their full body weight. Once you've obliterated your pull-ups, you can pull elbows out to further challenge the shoulder girdle with Bulgarian Pull-Ups. Add the "L" shape to tax the pull further.
The point is, there are versatile steps in building a strong, mobile body in any space. You've got this!