Visiting London and need to kill time in Earl's Court on early Sunday morning - any restaurants open early?

My family and I are taking the red eye from New York to London next week and will be arriving very early on a Sunday morning. We'll leave our bags at the hotel, which is in Earl's Court, but then there won't be much to do till tourist attractions start opening up around 9:30 or 10. Can anyone recommend somewhere we could sit, get a bite, maybe do some people watching, preferably in the general area of Earl's Court? In NYC, I'd just go to a 24-hour diner, but I'm not sure if those are common in London. Any ideas would be welcome - thanks!Visiting London and need to kill time in Earl's Court on early Sunday morning - any restaurants open early?
The Colhern would more than suffice.