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Fritz
I found noip and cloudns.
I use the free noip service, partly because it was one of the services that my DD-WRT router supported.
They intentionally make it an inconvenience to use the free service for long periods of time by expiring the domain every 30 days and you need to go to their site to renew it. They send email about a week before it expired and a final one the moment it expires, both have a link you can click to renew for another 30 days. The schedule is consistent enough that I can have a calendar reminder to let me know when it will be expiring next. But they really want you to use their paid service to eliminate the 30 day renewals.