A handyman is a generalist and a contractor is a specialist, but there can be some overlap in the types of services they provide. Generally speaking, handyman services are less expensive and intensive, whereas contractors are usually called to take on work that could be dangerous.
Licensing requirements may vary depending on where you live, but many Taskers are licensed to perform handyman services in your area. Get in touch with a Tasker to find out if they have the right qualifications to help you!