I am using Keepass XC + Keepass DX synchronized with Syncthing. There's really nothing to self-host, other than throwing Syncthing on a NAS so you can make sure you have at least one machine online at all times. But even that isn't critical, since both Keepass XC and Keepass DX have a "Merge" option if anything falls out of sync.
ive used keepassxc forever, switched to proton pass after the release, because i was managing my db in git and it was always a pain to keep in sync, but switched back a couple of weeks ago with exactly the same setup, syncthing and KeepassDx also works suprisingly well.
mostly i was missing power user features and especially ux for the browser plugin, namely you can't operate it fully with the keyboard, with keepassxc you can