Look into STEM OPT extension. It's good for 17 months. Your student advisor should know about it and your employer must be enrolled in E-Verify. You'll need the employers E-Verify # when applying and you'll get a new I-20 from your school. Nothing with USCIS is ever that simple but the employers I work with have lots of F-1 students that qualify and quite easily get their STEM OPT extension. You have to apply well before your OPT expires though (90-120 days).