To get a first impression idea of how lively a room is, go into the middle of it and clap or snap your fingers. Listen for where the echos come from. Try that from different positions around the room. It's rudimentary, but it works.
You can deal with a surprising number of the issues in a room by broadband bass trapping, and then dealing with first and second reflections. The rest is more complicated diffusion techniques.
As a side note, Rockwool (Roxsul) insulation covered with light fabric and placed at early reflection points to the Left, Right, above, and behind the listening position (and behind the speakers), as as well as the top corners of the room is a poor engineer's best friend

- exact positioning requires some math to make sure you are setting things up according to room nodes and the exact listening position. Also, make sure you aren't trying to listen from within a room node.
https://amcoustics.com/tools/amroc
This site is a helpful one for acoustic room treatment, but is geared toward studios.
https://www.acousticsinsider.com/blog