Thanks everyone. Some really helpful advice. I think I've decided that I'm going to do both. I'll install the Tesla wall charger and have them install a 240V. Probably connect the Tesla to the 240V outlet, since I know I can't use the Tesla charger and the 240V at the same time. Will probably be handy to have a 240V in the garage for other things (ie. heater, plug-in lawnmowers, etc...).
Does anyone have any recommendations on adapters to use at non-tesla charging stations? I assume, there are adapters that convert non-Tesla standard to Tesla.