I bought another router just to act as a wireless bridge/repeater for just my Tesla. Works great and my updates come on the first wave now. I'd recommend doing that -- its a bit of a pain but if you plan on having the car for a while, it will pay dividends in terms of getting software updates without hassle. We have a lot of updates to come this year (I have even more with FSD).
A decent sized house (>3500 sq. feet) is going to need multiple routers or a mesh wifi network for good coverage (depending on your definition of good coverage). I accept nothing less than a full signal in every corner of my house and for around 100 yards in all directions outside my house as well (so it works at the neighborhood pool and on the kid's fort, etc.). It is useful in this situation to separate your router from your wireless access points, although that isn't a requirement (and wouldn't be applicable if you use a mesh network like Google Wifi). Personally I have a pfSense router which handles my two internet connections to Comcast and AT&T (it was the best multi-WAN router I found that was powerful enough to handle the gigabit connection from Comcast at full speed), a Cisco SG200-50 switch and four Asus RT-AC66U units which operate in wireless access point mode. I have one wireless AP upstairs, one in the basement and two on the main floor. If you have a decent sized house, a single consumer class router just isn't going to cut it. You do have to run Cat6 ethernet throughout your house as well, but that is a necessity for any modern home.