What does this comment mean?

Solution 1:

It's a joke that relies on familiarity with a cultural reference.

Much of the audience will be familiar with a popular television show titled Fresh Prince of Bel-Air. It starred Will Smith as a street-smart teenager (the titular 'Fresh Prince', which previously had been a stage name for Smith, who plays the Genie in the film) who is sent from West Philadelphia to live with wealthy relatives.

Both the wish by Alladin in the movie and the Will Smith television show incorporate the rags to riches trope.