A VPN server can provide an encrypted connection to your home network. It is a great way to remotely access your network since it provides a high level of security. Once you are connected to the VPN server, you essentially become a part of the network in which you are connected. This is different than using an SSH server because you are not directly connecting to a single machine on your network.
There are two common ways of accessing your home network remotely and securely: a SSH server or VPN server. Both options have various pros and cons as is usually the case when comparing two different things. These technologies provide an encrypted connection which is important for security of your network when you want to have remote access to your network. Encryption alone is not enough to guarantee security. You can easily be communicating with a malicious hacker via an encrypted connection.
Historically, DNS is a service that was designed to be unencrypted. Whenever a device from your network is trying to go to a web address, it needs to determine the IP address of the website in order to access it. With the increasing levels of tracking and data sharing/selling, a growing awareness that having DNS traffic unencrypted is not a good idea from a privacy and security standpoint. ISPs and other entities are able to know which sites you visit even if all of your web traffic is encrypted.
On my home network, I host a few public facing services that my family and I make use of when away from home such as Plex Media Server. On Plex I have limited the bandwidth remote users may use to be slightly less than the maximum of my upload speed so my home network is still usable. I am using my own registered domain name which I use to refer to devices on my network (both internally and externally, which you can read more about with another article I wrote).
Consumer Routers Most everyone should be familiar with the standard consumer-grade wireless router. Many Internet Service Providers lease modems that have a built-in wireless router, which most consumers are likely to use because it is convenient. Other users choose to purchase their own wireless routers to have a better quality wireless router and/or to have more control over their home network. Ideally the router should be placed in a central location in the home.