Hello, My name is Tom Uffner. I am an expert Network Admin with many years of experience working w/ DNS, firewalls, proxies, VPNs, and Web technology.
I can think of several ways to do what you want. Which is best will depend on what you have available, or are willing to install, on your home LAN and VPS.
Hire me and I can provide all of the guidance you need to get HTTP and SSH access to the private addresses on your home LAN.
Thank you for considering my bid,
Tom