How do I set up yun web-site on port 81 in a user friendly way?

I use Arduino Yun for home automation. I access it by a web-site hosted by yun on port 81. Yun’s administrative interface is on port 80:
On my router I have made a static dns where the ip-address is named my.home
It is not possible to use port numbers in DNS. Users got to add the port number to access the web-site. That is not user friendly.
When I worked with IIS-server, I just made a virtual host. I can’t do that on a UHTTPD-server. I then installed tinyproxy – but I can’t figure out how to set it up. I also tried to see if the firewall could help me in any way – but again – I can’t find any answers.
What do I do?

Sorry, I'm not sure what your question is, I only see you've done a couple of attempts. Where are you stuck at?