You can usually move a page to a new title by clicking on the move tab at the top of the page. This preserves the edit history by transferring the edit history along with the page move. The talk page, will be moved as well, if you check the box requesting that.
When a page is moved, a redirect is automatically created at the old location. Please fix any double redirects that result. Use the "what links here" link in the left hand column of any page to find the double redirects so you can edit them and point them to the new page name.
Moving a page in this way is not possible in some cases, such as when a page other than a fresh redirect exists at the destination, or when the page is move protected, but you can ask for help at Wikipedia:Requested moves.
Please do not "cut and paste" to move the text to its new location, because this leaves the page history behind. Thank you.