When working through my home training courses, the chances are you will need a pull up bar. Many landlords won’t let you screw them into a wall, so get one that slides in and out of a door way. I’ve liked the JML one because, like me, its been around for ages,
JML Awesome Gym Door Frame Workout/Pull-Up Bar Home Gym for Upper Body Exercises
but there are lots of cheaper ones around too
I have to say that I own my own home so, Ive screwed mine into the wall.
Once you have a pull up bar, you can get a set of gymnastic rings. I started importing them in 2005 in tiny batches, and I think they cost £50 plus.
Today £20 gets you a nice wooden pair. Here is a good example, opt for wood if you can.