@Jason Sypher - I don't see any monitors, speaker stands, mic stands, XLR cables, mics, DIs, extension cables, power strips, cases, carry bags, dollies, etc. on your shopping list. These things add up fast (and not just monetarily). To rely on band mates to bring these things is to invite frustration, in my experience. Japanese culture and/or the level of musicians you get calls from might negate some of that risk.
It sounds like your goal is to mix ≥8 inputs, on an analog board, from the stage, while playing your DB. It's doable, but I don't enjoy or recommend it! I was doing 6-9 inputs for my folk trio's coffeehouse type gigs... using my phone with saved presets on a wireless digital rack mixer. It was light years better than analog, but still not ideal.
If you're just looking to add a little tiny bit of volume to supplement everyone's acoustic sound in a coffee shop, I would argue that the specifics of the mixer (e.g. "A&H has 'warmer preamps' than yamaha") are not going to matter, and agree that you can probably go ahead without worrying about surgical eq and whatnot.
For what it's worth, I did most of those folk trio gigs with a pair of QSC K10s, or else ran my mixer into the house system. Love the qsc stuff, but i'm only familiar with the K/KS/KLA lines. I haven't used their little sub either, but I believe the 212 can do cardioid with one box, which I would strongly recommend - if (and only if) you absolutely must have a sub.
I'm familiar with the X16/18 and it seems everyone I know has to buy an external router because the internal wifi unit is so weak. I think they are truly amazing, though. If I was doing sound for a band I'd have one. I was talking to an engineer last night who was telling me that the Soundcraft stuff was a pain- doesn't work with docking station and has a bad app. Is that true?
I have the soundcraft ui24r, which has been great for me for several years. The selling points (over the behringer/Midas minis) were multiply-redundant recording options and better hardware specs. Note that the ui12/16 are, in fact, complete garbage - the 24 was a new design with different hardware.
The included software is an html webpage, so it can be used by nearly any device with a browser. I like the software, but I now strongly prefer the "Mixing Station" app, which is incredible and works exactly the same across all the boards I regularly use (ui24r, A&H qu16, M32). I strongly recommend it for any board you go with.
The wireless hardware in a mixer is limited by the FCC. It works, but any external router will work better.