If you want to connect with your children over long distances, try playing an online video game that's both appropriate for kids as well as fun for adults! Certain videogames like Factorio, Brilliant, Words with Friends, Animal Crossing, and especially Minecraft are great for cooperation and brain stimulation. Setting up a Minecraft server doesn't require an expensive PC, and it fuels creativity via its building mechanics. Just make sure they have the computer literacy to log in!
While Wi-Fi is more popular and prevalent than ever, it's still no match for a hardwired ethernet connection. But many of the new routers, especially mesh routers, don't have many ethernet ports built into them. Fortunately, if you have at least one ethernet port, you can expand that to as many as you need with a "Switch". Netgear makes some quality switches, but any unmanaged networking switch should work just fine. They all are very easy to use, as long as you get an unmanaged Switch.