Under the federal statute, that issue as well as costs, damages, and an injunction are available. The filing fees and costs of these organizations differ to some degree, and the number of disputes each has determined to date also differs widely. The jury is still out on the bias issue, but it might be a factor in deciding with which organization to lodge your complaint. Under the federal law you bring a lawsuit in court. You will probably want an attorney to represent you, and those costs are determined, usually, on an hourly basis.
Many people believe arbitration is cheaper than litigation.
One more ingredient has been added to the soup. California recently passed legislation addressing cyber piracy which took effect January 1, 2001. California SB 1319 is similar to the federal Anticybersquatting Act, but has expanded the list of protected entities to the heirs of the famous and to people not yet famous, but who become famous.