If you have coax in the house, you could leverage MoCA as an ethernet replacement - next best thing to ethernet. Powerline as mentioned, but it can work great, work poorly, or not at all. The only way to know is to try it out and return if it doesn't for work you.
You don't say what the existing router is, so it's hard to know whether a better router could help or not - sometimes that's all you need. A mesh router and satellite might help in terms of signal, if properly placed. Best to be directly connected from your console to the router rather than via a mesh satellite, if you can do it.