Can I install a home charger myself? Who can?

Sure, if you’re a certified electrician, you can install one yourself. When dealing with 240 volt, 50 amp circuits, it’s best not to fool around. There are plenty of electricians who can do this for you. How much it will cost depends on many factors, including whether your existing house panel has capacity for an additional circuit, how far said panel is from where the outlet is going to be, and perhaps even whether or not you mention Tesla when asking for a quote. Expect the ballpark of $1,000 plus or minus a few hundred.

The following electricians have gotten good reviews from the community:

Also note that you may be eligible for some rebates. For PEPCO customers, check out https://www.pepco.com/SmartEnergy/InnovationTechnology/Pages/Residential-Charger-Rebate.aspx