Some friends live in a rental that they’ve decorated well. It wasn’t until multiple visits that I realized they had run Ethernet throughout the house.

You can get skinny Ethernet cables that bend easily. If you get some that match your paint, and route them in straight lines, those can be unobtrusive. Use tricks like running the cables along baseboards and other trim pieces. If you really want to minimize the visual impact you can use cable runners and paint over them. The cables are not attention-grabbing compared to furniture or art on the wall.

If you’re willing to drill holes (if you terminate the cable yourself, the hole can be narrow), you can pass the cables through walls. If you don’t want to drill, you can go under a door.

If you’ve got fourteen outlets, it seems like there ought to be some solution to get cables everywhere you need.