It occurs to me that a lot of these "could I use a Supercharger instead of home charging" questions come from people who've never owned an EV, and who therefore think of Supercharging as being akin to visiting a gas station, which of course is something with which they're familiar. Personally, I've used a Supercharger once, just to test it, in my grand total of one month of Tesla ownership; but IMHO, the time required to use a Supercharger makes it a poor analog to using a gas station. Before my Tesla, I leased a Chevy Volt, so I became quite familiar with the charge-at-home lifestyle. Not having to go to a gas station (or Supercharger) is something that simplifies life. To be sure, it's not a big change, but it does make it a little easier to manage day-to-day tasks. As others have said, even 120v charging is likely to be adequate for most purposes, and a convenient Supercharger could serve as a useful supplement; but I wouldn't recommend using thinking of a Supercharger the way people think of gas stations. If there are stores or restaurants near the Supercharger, using the Supercharger while shopping or eating is certainly an option; but a Supercharger isn't, IMHO, a good destination in and of itself, the way a gas station is. Even 120v at-home charging is likely to be more convenient, from a lifestyle perspective, than is visiting a Supercharger once or twice a week,
unless you legitimately have something to do for half an hour or so near that Supercharger. An at-home 240v outlet or EVSE can help move beyond 120v charging, but unless you drive a lot, the 240v outlet will mainly help with efficiency, and maybe reduce costs a bit (ignoring the up-front installation costs). Whether that little extra is worth the thousands of dollars that
@Nguyenning has been quoted is of course a subjective matter. My own recommendation would be to start out with the 120v charging, see how that works, and decide what to do with some experience in the rear-view mirror, as it were.
One other option deserves mention, too: public L2 charging. In my area, there are several public L2 EVSEs at shopping malls, parks, and so on. Most of these are free, and they're closer to me than are Superchargers. I learned where most of these were when I was driving my Volt, and in that car, they could sometimes mean the difference between getting home on electricity and getting home on gas. In a Model 3, with its range, they're less critical for the "getting home" equation, but the Model 3's range and faster L2 charging speed also makes it possible to make better use of them. I haven't yet, but could, let my battery drop to about a 50% charge, then plug in at an L2 charger near a movie theater, go watch a movie, and come out to my "fully" (80% or 90%) charged car. As more public L2 charging becomes available, this sort of scenario could become useful for those with only 120v at-home charging, and
very useful for those who live in apartments or condos that have no at-home charging options at all.