I was in the same boat and thought I needed something with wifi. Turns out the range extender idea is very reliable, meaning I was able to look at all options instead of only wifi capable units.
In my case I use an Asus brand router for my main network, so I picked up another Asus router and set it up for their proprietary Ai Mesh mode. It works flawlessly. Later I added a 3rd one to improve coverage on the far side of the house. Now if I walk over there with my phone, the system will hand off coverage to the closest router. Pretty slick.
Once you have ethernet as an option, there are a lot more interesting choices available for streamers. Especially if you want a one box solution which inherently cuts down your choices compared to separates.