I am in a rental currently. Plan to stay here for a couple years minimum as well (assuming landlords don't get greedy with rent).
I reached out to the owners a few months ago asking about putting an EV charger in the garage. They are OK with is, so long as I pull all necessary permits and have it professionally installed. Up front cost is on me, and they get the NY state tax credit.
Electrical service already a 200A setup into my side of the building, and there are plenty of open breaker positions available. Garage is about 20ft from the electrical box, so I foresee any major issues to getting that plug added.
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I suspect it will be a few weeks before I can figure out which charger I want to get, and get the service into the garage installed. Until then, there is a DCFC station about 3mi from the house. Figure I'll just "fill 'er up" every couple of days there as needed for the short term.