Advertised wattage of a sub's amp doesn't tell you much at all. Sensitivity of the system can make for much different amplifier needs (a more sensitive/efficient sub would need less amp power to get to the same levels....takes a doubling of power just to achieve 3dB spl advantage), but they don't generally provide any sensitivity or even impedance information for comparison. Best way to compare is third party testing rather than the specs the marketing department signed off on
. I have an old Klipsch RW12d that advertises 350W but whether its particularly different from the ones you mention, hard to know, but I find it works best in my smaller rooms as it tends to make bad port noises when pushed hard. Klipsch is always making small changes and putting new model numbers on them.
Best way to look at sub specs and performance is thru third party testing....this site isn't particularly active (and the site was down for a while, too) but an example of third party testing (done by a guy who used to do it for Audioholics too).
https://data-bass.com/#/systems?_k=8ocsz6. Here's an Audioholics review of a slightly different model of Klipsch, the R-121SW
https://www.audioholics.com/subwoofer-reviews/klipsch-r-121sw
Klipsch isn't a sub specialist particularly, altho their better models can be acceptable, but there's better out there from sub specialists like SVS, Hsu Research, RSL, Monolith, Rythmik, PSA and some others altho the starting point is more like $500-700 range with such....used subs can be a good way to save money if there are any in your area you can easily drive to for a demo and pickup from....shipping costs can get in the way outside of that....but at your budget that's where I'd start for subs/speakers. Another potential issue is amp reliability on the least expensive subs....(and on that note, I had a Pioneer 819 that died a couple weeks after warranty expired, sounds like you got a durable one! ).
As to room size you might try this article
https://www.audioholics.com/loudspeaker-design/subwoofer-room-size
Your room isn't particularly large and sounds like with your use your extension (how deep does it dig) and spl (sound pressure level) goals are fairly low and a 10" sub can be fine, especially if placed close to your listening position. Music generally doesn't extend particularly low, compared to movie soundtracks. Your avr can help sync with your speakers (run MCACC for the easy way), altho a wireless sub can add delay issues (delay in your avr is what is adjusted by "distance"). I'd prefer a 12" generally if not larger, but I may have different extension/spl goals than you (the Klipsch I mention is just one of several I have, including several DIY subs). Ported subs will be larger boxes than sealed subs, and the ported boxes are generally more efficient at lower frequencies, sealed need eq/amp to make up the difference. For new and wireless and lowest price possible best I can think of off the top of my head is the RSL Speedwoofer 10s.
Welcome to the forum, good luck and hope that gives you some food for thought...
