Cheap Apartments For Rent In New Port Richey Fl . Browse through cheap apartments for rent in new port richey, florida by searching our easy apartment finder tool. 5 rows new port richey rental pricing. Worthington Court Apartments For Rent in New Port Richey, FL from www.forrent.com As of june 2022, the average apartment rent in new port richey, fl is $774 for a studio, $1,254 for one bedroom, $1,225 for two bedrooms, and $2,278 for three bedrooms. Provide a storage unit at no cost or include all your utilities in the monthly rent. Browse through cheap apartments for rent in new port richey, florida by searching our easy apartment finder tool.