No-ip gives out free dynamic DNS with a static URL. I use it for Sunshine desktop streaming when I travel.

Yeah, but then you are always exposing your public IP.

Exposing it to what exactly? The internet? Yes that's how it works

	▲	cuu508 3 hours ago \| parent \| next [-]
		If somebody learns that such-and-such DynDNS URL is mine, they can always do a DNS lookup to find my current IP address. They can: - find my approximate physical location - regularly scan ports on my IP and wait for me to accidentally expose a service I didn't mean to - track me in any access logs they have access to
	▲	johng 4 hours ago \| parent \| prev [-]
		This requires no port forwarding, so someone brute force scanning your IP won't find this and your open port. they also might have a harder time figuring out what service has been exposed since the port number itself will be unknown.