It's not a huge PITA. There's a zip all the way around at floor level. It easier if there's two of you an no wind when putting it over the car, but it's not a big deal for one either. I just prefer not to drag it over the paint if I can avoid it. It helps if you can store the thing easily somewhere without having to fold it up too much whilst you're out in the car. Mine fits fine in the garage with the Tiger. The base slides under the car, the top next to it. I should add that I rarely go out in the Supra nowadays which is maybe why I find it easy to live with, but I do regularly uncover it to do the odd job, start it up etc.
Yes it looks very obvious outside the house, but we live in a quiet cul-de-sac and it's stepped back out view of the neighbours. It is fairly large when it's puffed out as you'd expect. I guess it does look odd to anyone that happens to visit. Not sure how I'd feel about it if I lived in a busy town - I suspect some to$$er would slash it for kicks depending where you live.
I use one of those intelligent chargers on mine, not the one that it comes with so can't vouch for that, but the two fans work away quietly on the PSU by roll up extension lead. It's in front of the garage so comes out under the garage door. The power sits inside the Carcoon so it's not in the elements.