Three Genesee County COVID-19 vaccination clinics open for appointments Updated Apr 16, 2021; Posted Apr 16, 2021 About 300 Genesee County residents receive a first dose of the Moderna vaccine for COVID-19 on Thursday, Feb. 25, 2021 on Flint's north side. (Jake May | MLive.com)Jake May | MLive.com Facebook Share GENESEE COUNTY, MI -- People who work or live in the county and need a COVID-19 vaccine can sign up for a direct appointment at one of three clinics scheduled for this weekend and next week. The county Health Department has added the clinics to its online vaccine scheduler, allowing individuals to make an appointment for a specific time without being placed a waiting list.