It's really going to vary depending on how far and complicated the run is from your breaker box to the charger. The charger itself is a stupid easy install. The actual Tesla wall charger is a 60A double pole with either 4-6 gauge wire (depending on the length of the run) because the max amperage it will pull is 48A.
A lot of people also just install a 50A NEMA 14-50 plug (same as an RV) and use the mobile charger. That's a bit more flexible in the future because you can use that same outlet for an RV, welder, etc. The mobile charger pulls 32A instead of 48A for the wall charger. Charge time is just a little bit slower on the mobile charger but it'll still typically charge your car in 2-4 hours, depending on how low your battery is when you get home. Our daily driving of ~100 miles takes about 2 hours of charging each night.
Aside from buying the Tesla wall charger, I'd imagine the cost of the power run from your breaker box and labor is going to be about the same for both.