hello to everybody,
as there were some alternatives for dynmic DNS handling mentioned, i'd like to add the following: as with most commercial dyndns providers come conditions (paid account, limited number of hosts, and - what annoys me the most - login after x days, etc.) i want to point you to https://nsupdate.info.
this is an open-source project which offers dynamic DNS service with some advantages. i.e. they state they state in their "why another one?"-section: nagging its users to make a paid subscription annoying its users with advertisements or spam cancelling hosts or accounts after a short period of non-usage hiding the few free features almost undiscoverably between a ton of commercial-only features so check it out and a nice day to all of you!