If you want to actually change the name of the corporation, then you'd have to check with an attorney about the rules in your state. Details are different for different states.
As to how you do it, your first step is to contact a local attorney with small business experience. It shouldn't be expensive -- this is bread and butter for a small business attorney.
Al Lautenslager is an award-winning marketing expert, bestselling author, highly sought-after speaker, consultant, and entrepreneur. He is the principal of Market For Profits, a Midwestern-based marketing consulting firm; former president and owner of The Ink Well, a direct marketing, printing, and a Certified Guerrilla Marketing Coach.