No-IP allows you to create up to 3 free Dynamics DNS hosts for private use. You will need to register for a free account, and either update your IP address via their web interface or download their Windows client.
Using Dyn’s dynamic DNS eliminates the headache and human error associated with tracking ever-changing IP addresses and allows you to avoid the alternative of purchasing pricey static IPs.
This service was discontinued and replaced by Oracle Cloud Infrastructure in May of 2020.
Dynu offers free dynamic DNS service for yourname.dynu.com and yourname.com. It has a simple API(update URL) and offers free update client software.