Houses And Apartments For Rent In Moore County Nc . Search moore county category listings. There are 1 affordable rental homes in moore county, nc with prices starting at $1,199 per month. 408 W Moore St, Greenville, NC 27834 Trulia from www.trulia.com Showing 25 of 48 results, page 1 of 2. 18 for rent by owner near moore county. 570 s may st apt 4, southern pines, nc 28387.