Your Local YMCA, Red Cross or High School
Your YMCA, as well as the Red Cross, may offer babysitting certification classes. If so, you could check with them about babysitters in your area who have completed the course. Those babysitters may not have experience with kids who have learning and attention issues. But since they completed a class, it shows they are conscientious enough to get certified. Local high schools may also have service clubs where you could find babysitters.