Yes Anderson is the right connector for high amps.
Be sure to use the proper crimper, and do not buy the connectors based on price
too many cheapo chinese clones out there, use a trusted vendor so you get genuine.
And there is no problem running multiple disparate charge sources at once to the battery bank concurrently, do not worry about them confusing each other, dropping to Float at slightly different times, etc.
But do your best to have all the sources configured with similar settings if possible, ideally as per the battery specs.
In fact with Solar, you might be best off just keeping Float V set to the CV Absorb voltage.
The sun always sets, and it sounds like with those loads running the you may never get to hit endAmps anyway.
But obviously switch Float back to spec in storage mode, or in cool enough conditions that you are generating a surplus.