The OP is talking about *flutter echo*. Moving his speakers and LP won't help that. And his bass is fine.
Flutter echo happens between two bare parallel surfaces. The way to lessen/eliminate it is to either break up one or both of those surfaces (diffusion -- like furniture, bookcases) or add absorption (upholstered furniture, wall hanging, especially to either side of his listening position , and back of it if necessary.
I know this because my small rooms have suffered from this too!
If diffusion or adding furniture is not an option for the OP -- I like a minimalist room myself -- he could try hanging 4" of 'rockwool' type absorption ( I bought inexpensive
Knauf 6packs from GIK , and built my own frames for the cost of a few pine boards from Home Depot and a few yards of burlap or other acoustically transparent fabric). That's 4" deep,
not 2" , because you want the absorption to work in the lower above-Schroeder range as well as the higher.
When you do the clap test, do it from your seated listening position. That's where it affects you most. If you can knock down the flutter at that position, you've already made things way better. You will find that simply damping the walls at the two points on either side of your ears will be instantly effective in the clap test. You might need more elsewhere too, add to taste. Hanging one 4'x2' horizontally, centered home-made panel at ear level on either side, worked well for reducing reverberation (flutter echo assessed by clapping) at my LP in my otherwise minimalist, carpeted room.
Floor covering -- a good rug or carpet with a decent amount of underlayment -- is also very good to have, to reduce/eliminate top to bottom flutter. NOT thin rubber 'floor pads' for reducing transmission to your lower neighbor -- more like the clipped pile carpet/rug on thick felt underlay that Floyd Toole recommends.