Any modern distro that supports x86 and/or x86_64 will work. This includes Fedora, Gentoo, Slackware, Ubuntu and a host of others.
A quick look over at
http://www.linux-laptop.net/ shows Fedora, Mandriva, Gentoo and Ubantu. Most newbies find any one of these to be nice to start with. Pick any one mentioned and stick with it for a while.
Welcome to Linux.