I would take it anywhere i take my car- with one exception: not where you are required to valet park. Valet mode does not teach a newby how to drive the CT.
I have an unused black wall connector available. I know it will work with your truck because I still have one just like it hooked up in my garage. It charges my Model X at 72 amps, but CT will only take 48.
A 13.5 kWh battery will only support your house for a few hours in a grid outage. PS will work for 2-3 days. i have PS. It works very well and can be recharged in an hour or two if it runs down. I am not dissing PW but PS does do some good things.
We had a storm two nights ago that caused a power outage (along with 500,000 neighbors). We were spared the outage because of my Cybertruck and PowerShare. Except for the A/C, everything in the house, plus the pool equipment, functioned perfectly for the 18+ hours that our power was down...