which speakers should I buy?

No, They are passive ,so , you need an amp.
If you want great performance ,they are top notch.
I don’t think there is any powered speaker that will come close to competing. i do not have any recommendations for powered speakers... sorry

So you want wireless and like horns?

Lot of PA stuff that will work, if you're into volume, and a certain amount of quality.. But Horns for outside do work well.. Just look, to keep anything covered, in severe weather.. Some of the horn loaded bass systems, will rock the WHOLE block. BIG boom boom.  They can be simi-outdoored. Mine have lasted in shops, 30-40 years..Still going in some.. Big suspended horns 10-15 feet up.. A couple looked like upright pianos, and the weight, was close..:-)

Big Class d 12k Behringers. 3500 watts @ 4 ohms.. 550.00 ea.
But there has to wire somewhere, right? Big bang for the buck..

Just an Idea....

either speaker wire or power cords. This may not be the first place to shop for active outdoor speakers. 

I guess power cord is ok. I’d like an active speaker. Quality trumps volume for me. What about these battery driven speakers, vifa B & O etc? Are those horrible ?

contact hifibuys in Atlanta. They do custom installs with systems that specifically designed for outdoor audio.