I have a Schneider XW+6848. It is known as a "hybrid inverter" that can operate either off-grid, or grid-tie, with settings to let you decide when and how much power you want to sell to the grid, and how much you want to go to your batteries. It offers split-phase 120/240VAC so it is designed to be wired directly into a standard house mail electrical panel.
It's a stout inverter, and I use it to power my 240V well-pump from about 8am till 4pm in the afternoon.
In terms of melding solar, wind, and hydro, what you
should be looking at is charge controllers. The three elements convert the sun, wind, and stream into DC for charging your batteries, and the inverter converts the DC battery power into the AC your wall sockets use.