Google announced that as of November 15 they will no longer support Internet Explorer 8. If you're not sure what browser you're currently using, visit What Browser to check.
My browser of choice is Google Chrome. I like Chrome because it automatically updates and because I can synchronize my tabs across all of the computers and tablets that I use. But whichever browser you use, make sure you update it when new updates are available. Updates generally improve the speed and functionality of your browser. More importantly many browser updates are made to improve the security of your computer. Keeping your browser up to date is an easy step in maintaining your computer's security.