@whart You need to control reflective surfaces...the fundamentals of your room, what position the speakers should be in given the equipment and room, where you are creating problems that you can solve by removing things or using common furnishings like rugs, sofas, chairs, window treatment and other things before you get down to acoustic treatments.
I agree wholeheartedly with the comments from whart and designsf.x. Getting your space set how you want it while maximizing sound potential is the first step.
No room is perfect so experimenting with the speakers on long/short walls or closer/further from front/side walls is so important. I typically try to place speakers where they provide the best bass first and then fiddle with small movements and toe in for image and soundstage. I never had a room where the speakers ended up equidistant from the front or side walls.
Rugs and cloth hangings work. My listening space has a tv and placing a throw over the screen impacts the sound.
Once you have the above accomplished, then consider absorption panels.
I have built my own panels as others have advised and they work. The most notable improvement for me was when placed at the tri-corner of the ceiling and front/side walls to improve the bass.
Sometimes you can manage treble reflections with toe in versus panels. Tapestries could be a good idea but don't expect them to have the best effect where your better half might prefer they be hung!😊!
Have fun!