Need help choosing my first amp for my first speakers

jc,

For your educational purpose only here, I cannot give you any recommendations for really inexpensive amplifiers.

Watts are not the only thing that need to be taken into consideration with amplifiers in general. Amps being delivered is also very important, as it allows for drops in impedance and "head room" for how music is actually delivered.....reserve power if you will. In some cases I would also say that amps are more important than watts, but most manufacturers don't post maximum current delivery.

Amplifiers with high current capability will usually be rated at 8 ohms (say 100 watts), and into 4 ohms (say 200 watts), and sometimes into 2 ohms (say 400 watts)......usually double, or nearly double the previous spec.

Amplifiers that cannot do that, usually are incapable of delivering high current. All watts are not created equally, or "watts are not just watts"; current delivery is also very important. 

Also note that higher current delivery, can generally be associated with more expensive gear (though no always). And please know, these are just generalities....there are always exceptions to the rule.

jc,

Also choice of speakers, and their sensitivity also has a direct correlation (again a generalization) to the type of amplifier and power from an amplifier is required.

A pair of Kllipsch Forte IVs are 99 db sensitive, and would have no problem driving them LOUD with a sub 25 WPC amplifier. Your Beonicke W5 SEs are 83/86 db, and would require 100 WPC (or more) to be driven sufficiently loud and still have steam for transients. That is not to knock your Beonicke speakers, by all accounts they seem to be excellent speakers (I've never heard them).....but understanding the amplifier and speaker relationship is important as you grow your system.

That Wimm or whatever is barrel bottom crap. It doesn’t take more than a quick search to note that it can’t even get to its rated power, etc. Putting a 4ohm or lower load on it is asking for trouble. It is more for guys sitting near field with a small desktop/pc audio type of scenario.

I wouldn’t go any lower than a Yamaha R-N800A for an all in one box, amp+dac+streamer.

Used peachtree integrated. 
 

best luck

I am glad I asked here, so many good opinions. Thank you all for the advice, think I understand much better than before. going to go through the book and deep dive one at a time. y'all are heroes. Thanks a lot!