Buy an SVS SB1000, you wonāt regret it, its fantastic, Small Velodyne is supposed to be shit hot as well but I havenāt heard it personally. Donāt buy anything ported if you want fast. Donāt buy anything hifi branded unless you have good money to spend. At the lower price points (less than 1k) you really want to go to a company the specialises in subs and donāt go BK unless you want to listen to movies more than music. Thatās my tuppence worth.
BK Gemini can be had around £150, usually loads on AVforums or through the eBay BK outlet.
I really like the Castle Classic sub, nice and cheap but donāt come up for sale that often.
If space is tight, or having one on show is tricky, this worked well for me - also has dsp/mic/software so you can genuinely āloseā it in a small room.
It manages (somehow via the dsp) to result in the sense that the bass is coming from the same location as the speakers, regardless of where you have to locate the sub. If I ever go back to standmounts I would use one, as it added quite a lot to the overall experience with my Sonus Faber Olympica, sure others will say that if itās done right , timed with the speakers, it does more than just add low end, should make the experience closer to full range. I also tended to tweak the crossover manually to enhance the midrange on different material.
Obviously I didnāt pay this much S/H from PFM!
Happy for you to try it out to see if you can achieve what you are looking for in your room. Handily it also uses a wireless transmitter, so no cable from amp to sub.
Also in a study system had success with a BK Gemini, surprising how such a small sun transformed the sound using Audience One single driver speakers, and to my ears it kept up with them. Tuned by ear, no real science behind it and not a big deal to get it integrated.
If your rooms around 2 x 3m, a Gemini is ideal. Put mine on a block of mdf on squash balls as it was an upstairs room, stopped the thud upsetting the rest of the house