Room Size: can be from 1000-6000 cubic feet, (CF). Determine CF by multiplying LxWxH. The larger the room, the more bass is needed.
Room Shapes: are preferred rectangular. Dimensions should not be multiplies of each other (e.g. 8x16x20, 10x16x20, 8x14x28-are all bad!) Other room shapes in the real world can be treated. French doors can be concealed with thick curtains to overcome light pollution and noise leakage. If you have an alcove, you can relocate the display as well.
Room Acoustics: treatment can be well over your budget. You can consult with
www.acousticsfirst.com for suggestions to at least begin to control reflected sound and absorb some standing waves. In time you could go with more acoustic control.