"Pride and joy" is no way to refer to Mrs Groundhog.
Had you considered leaving your car safely at home and coming up to Heathrow by public transport? Alternatively, take the money you would have spent on airport parking and hire a taxi to drive you up and to collect you on your return.
You can also take a secret pride in seeing a man/woman standing outside arrivals bearing a sign saying "Mr/Mrs Groundhog".
Whatever you decide, enjoy your trip!