The Process is different for every location. In the state of New Jersey you must take a Certified Animal Control Officer (ACO) Class. After the class you must complete 20 ride along hours with an existing animal control company/agency. Then you submit to the state for a license.
Some ACO's/AHO's are part of a police department or town and may have different requirements.
Contact your local agency to find out their requirements and job duties to make sure you are willing and able to complete them.
I enjoy showing you all the cute and fun aspects of the job on TtikTik and Instagram, but I assure you it is not all kittens or helping cute baby animals. There will be welfare checks, dead animals in the road, cruelty cases, injured animals, aggressive dogs, cats, and humans.