A significant redesign is finally coming to the Yahoo.com home page, one of the most well-traveled destinations on the Internet, and the company’s search page will follow suit starting next month. Yahoo plans to let people in the United States start selecting a new, more personalized version of the home page beginning Tuesday afternoon. The revamp lets people select basic applications to use not just Yahoo sites, but also others’ such as eBay, Facebook, and Twitter, said Tapan Bhat, Yahoo’s senior vice president for consumer experiences