Switching to Copper.net from RoadRunner cable, DSL, or any other ISP is easy.  The first thing to do is contact Copper.net at 888-336-3318 or sign up online at www.copper.net.  Once you have your new Copper.net account, contact your current provider to cancel.  The number for RoadRunner is 800-617-4311.  Here are some others:

America Online (AOL) AOL lets its members cancel by phone, fax or mail.
Phone: 1-888-265-8008    Fax: 1-801-622-7969 (include your full name, phone number, address and either your screenname or the last four digits of the credit card you billed the account to)
Mail: America Online, P.O. Box 1600, Ogden, UT 84401 (send the same information required for a fax) For additional information, go to Keyword: Cancel.
CompuServe Phone only 1-800-848-8990
Earthlink Phone only 1-800-890-6356
Microsoft Network(MSN) Phone only 1-800-386-5550
Prodigy Phone only 1-800-213-0992
Worldnet (AT&T) Phone only 1-888-613-3064
If your provider isn't listed here, please contact its customer service department.