Seems like your only choices are to work for the Ministry or own an owl shop on diagon alley.
Like how are you supposed to make any wizard coin? There are no menial labor jobs thanks to magic, and even then you are competing against free house elf slave labour.
In fact, shouldn't magic render the Wizarding World into a post scarcity economy? Why would the Weasleys be dirt poor then?
Rowling sort this out right this instance.