We just bought out our lease but I was 38 weeks pregnant and just went through the dealer because we also needed financing. You can just go through the lease holder. Mazda sent me lots of emails in the months and weeks leading up to the end of the lease. You also don’t have to wait until the actual end of the lease. You will have to re-title and tag the car which can be a pain. That’s part of the reason we just went through the dealer.
I’m not sure about taxes though. We had the car registered in VA, DC, and MD so we’ve paid it so many times and ways.