I use Cloudflare because of their Tunnel to protect my Raspberry Pi, but I think I will just use it without the Tunnel now. My main concern is privacy, but I'm not ready to accept so frequent downtime and dependence on them. The whole reason to host self-host was to be independent anyway. Does anyone have a recommendation for that (that is free)? Should I worry about privacy? My name and my city are on the website anyway.

You can basically do this yourself without punching holes out to the public. Create VPN for Pi and clients and access from the same private network.

my tunnels are still working, oddly

Now mine works again too, I guess it was a short outage

And what about a website I want to make public? I'm just concerned about my IP being visible, like for my personal website or my searxng instance

Personally I'd just proxy it through a vm running on hertzer, linode, rackspace, etc

Tailscale Funnel, but might need a paid account

Tailscale's control plane uses Cloudflare.

Thanks, I did not know this. My Tailscale was unaffected by the outage.