India, Sept. 2 -- Kate Middleton and Prince William are stepping back into the public eye. It is their first official outing in nearly seven weeks, People reports. Both 43, the couple will visit the newly redesigned gardens at the Natural History Museum in London on Thursday, September 4.

The timing is no accident. Their kids - Prince George, 12, Princess Charlotte, 10, and Prince Louis, 7 - return to Lambrook School near Windsor on Wednesday, September 3. Prince William and Kate have a habit of marking these milestones, showing up for the first day while balancing their royal duties.

Their last formal appearance was Wimbledon on July 13. They watched the men's singles finals with George and Charlotte. Kate, a keen tennis fan and patron...