The
mobile connector is $250, the
48A Gen3 wall connector is $450.
The mobile connector will require a 240V connection for level 2 charging. As mentioned previously, this is commonly paired with a
NEMA 14-50 socket to leverage the included 14-50 adapter that comes with the modern mobile connector. The mobile unit can only provide 32A maximum to the car, but I would recommend wiring the outlet to support a full 240V/40A load for rudimentary future-proofing, which means a 50A breaker and appropriate gauge cabling and conduit. You are currently only setting up your house for a single EV, but if you have enough room in your panel you may want to wire up two sockets for flexibility in the event you acquire a second Tesla or host other EV owners and want to offer them a top-up during their visit. At one time I believe Tesla did not recommend using the mobile connector as a primary charging solution, but I do not see any warnings in the current manual.
The wall connector is hard-wired and is most commonly connected to a 60A breaker to provide enough headroom for a continuous 48A load. The fixed nature of the wall unit requires a bit more forethought in regards to placement, but if you are not bringing a second EV or destination charging for visitors into the equation, locating it should be pretty simple.
It does not appear you will need the full 48A very often, so the mobile connector and a socket or two may be your best option. The Gen3 wall adapter does have deeper integration into the Tesla charging ecosystem, meaning some additional insights and data will appear in your app, but I don't think you'll get much use out of that.
I think you might be able to get by with 120V charging, and maybe that's a place to start with the mobile connector. My guess is that you'll start to feel like a hobo before too long, though. At-home level 2 charging, even at 24A(one of my four wall adapters is limited to that rate, I still use it frequently), is one of the core aspects that makes EV ownership really go, in my opinion.
Installation is where knowing a good electrician makes a big difference. Both the socket and hard-wired versions are extremely straightforward to install, but you run the risk of getting soaked for a quote when an outfit from the yellow pages finds out that you're wiring for an expensive EV. I found this to be even more true when getting a quote from a local firm sourced from Tesla's web page- it came in at three times the rate of another firm, and during the visit I got the impression they didn't really want to do the work. At one time I think you could ask for a quote to install a dryer in your garage and feel like you were getting an appropriately proletariat quote, but my guess is those days are long gone.
Lastly, I'd look around to see if there are any state incentives to get your home set up for level 2 charging.
Last I checked in North Carolina the atmosphere was pretty hostile, but in the event there's a
program like there is in Illinois I'd jump on it.