There weren't any jokes I wanted to do with small animals being turned into people and/or horses, so I decided pretty early on that Hope was just going to hire a carriage for Cinderella Tedd.
But that's boring, so Hope owns a pumpkin carriage business now. Hope's Fairy Pumpkin Carriages, the carriage business owned by Hope. Hope's business.
As for why she hired the carriage when she owns the business, it's a paperwork thing.