Here is a breakdown of what the SSDI Appeal process Includes:

A request for reconsideration, which means you ask a new disability claims examiner to give your application another look
A hearing that takes place before an Administrative Law Judge working within the Social Security Administration system
An appeal to the Social Security appeals board that operates within the Social Security Administration system
Appeal to federal court
You should strongly consider hiring a disability lawyer to help you with this entire process in order to maximize the chances your claim is approved initially or during one of the early stages of appeal.