Behri d/i are good, yep, avoid the mixers.

I like Peavey a lot. Yamaha, Mackie, both good.

IMO separate amp and mixer are always much better, easy to upgrade, easy to repair and or replace parts of. You can always sell a good pa amp used, nobody wants an integrated unit used. Powered monitors are excellent, why not foh cabs as well. All in one solutions always skimp on some aspects and when it has a problem the whole pa is useless. On very small sets like I think this is you dont probably need separate monitor mixes, just get a board with 5-6 auxes and run monitors off those.

Vox only use/small system, get three 100w or so active monitors, a 400w or so poweramp and two fullrange 2-way speakers with stands. Mixer with 12,16 ch. and plenty of auxes., some basic verb unit. One condenser u can hang up high for acoustic instruments and ambience and 57 and 58 shures

Just my two cents having owned four and operated dozens of small pa systems.