How can I backup / restore Cydia iPhone apps free without iTunes?

There are software packages available to help backup Cydia applications installed on your jailbroken iPhone. Both of the options (PkgBackup and AptBackup) have their advantages but some users don’t want to pay $7.99 or be dependent on iTunes to save their list of apps. If this sounds like you, follow these instructions to backup and restore your Cydia apps.