Taking a bike down is really more time consuming than you'd want to do for daily transport. Even if you only pull the handlebars, seatpost, pedals and front wheel you're probably talking at least 15 minutes on either end of your trip. A rack is a better option.
Depending on how far you travel and what the roads are like, you might be able to just pull your front wheel, wrap the bike in a blanket and bungie your trunk lid. Although I'm pretty sure someone I know used to have a Civic and she could get her bike all the way in the trunk with just the front wheel off. It was a smaller frame though, 50 cm or less.
Taking a bike down for packing is more involved: you'll also pull the rear wheel and rear derailleur; you may have to rearrange or disconnect cables to let you position the handlebars in the box; and best practice is to remove the water bottle cages. You definitely don't have to do all that for car transport.
I'll be packing mine up in a week or two and I'd offer to post pictures, but there are lots of photo blogs and videos already online - just ask Dr. Google.![]()