I will be travelling and want to have access to my home network such that to the outside would it appears that I am still at home.
If your router supports a VPN software like openvpn or wire guard, then it is just a matter of setting it up in the router settings.
Install the client software on your traveling pc and connect to your router with the VPN server software running.
Tailscale is the easiest if you have a device you can leave on all the time. You just need to configure an exit node. You can do it in some Wireless routers as well. Most of TP-Link’s AX series have the capabilities, you should be able to get one fairly cheap but make sure to research the model you’re buying to confirm the function. If you decide to use the router, you will also need to setup port forwarding in the modem depending on the VPN application you’ll be using.