You could move to London. Then your stats would change every day at midnight.
Or you could remember that WordPress works world-wide and the clock they run on is GMT. Midnight/change to a new day is the same every day, GMT or Universal Time Convention (UTC).
"…how can you get an accurate count of people that visited your blog each day?"
It is the same 24 hours, everyday. There is nothing magical about the date changing at midnight in your particular time zone. With WordPress, and the world in general, it is always the same 24 hours and you just have a different midnight from the standard on wordpress.