Synology or QNAP will do the trick. However, once you get into the self-hosted rabbit hole, they'll become insufficient pretty quickly.
My suggestion it's to start with a self-built right with a Ryzen 5 or 7, enough RAM (16GB should suffice at first) and take it from there. That way you have flexibility in terms of what hardware (disks, ram, processor, board, power supply, cooling, etc) and its usually very cost effective in terms of bang-for-the-buck.
You can then test OMV, or Ubuntu server, or TrueNAS or anything else, and find your favorite.
There are plenty of cases that can meet those needs without breaking the bank.