Using No-Ip – Unable to Log In To Admin Section

Problem I’m struggling with:

1. Have a site e.g. https://www.example.co.uk. The URL is forwarded to No-IP who pass it as example.no-ip.info to my server.
2. I’m running Apache and have both https://www.example.co.uk and example.no-ip.info listed within vhosts.
3. When I install WordPress both urls work until I try to log in to the Admin Section. At this point, only the example.no-ip.info url will allow me to log in.

I would like either both, or the https://www.example.co.uk url to work.

I’ve tried .htaccess redirects but without success.