Look for a homeschool support group in your area and let them know you are offering your services as a tutor to parents who are interested in getting help for their children. Get some professionally done business cards and hand them out to parents who may consider hiring you as a tutor.
Set a fee. Usually, tutors charge by the hour. For example, you could charge $50 per hour if you have one student, $40 per hour per pupil if you teach two students at a time, $30 per hour per pupil if you work with three students and $25 per hour per pupil if you are tutoring four or more students. Try to work something out that is agreeable to parents, but that will, at the same time, pay you adequately for your time and effort.
Focus on an area of study you are strong in. For example, if you are good at math, offer your tutoring services for that specific subject only. Never try to work with students in a subject you are weak or uncomfortable with.
Familiarize yourself with the coursework required for your homeschooled students. Curriculum may vary, since not all homeschoolers use the same resources. Find out which books and materials your student is using ahead of time, so that you know exactly what is being taught.
Learn how to prepare good lesson plans. You will essentially be in the role of a "teacher" as a tutor, and the students you will be working with need structure and organization. A lesson plan will also map out your goals for each visit.
Learn how to communicate effectively with students. The whole purpose of them coming to you for help is that they need someone to help them better understand a subject they are having trouble with. You need to be patient with them and listen to what they have to say. Never be condescending or intimidating.
Establish a good relationship with the parents of your students and let them know what your approach with their children is going to be and what you want to accomplish.
If you want even more flexibility, schedulewise, consider becoming an online tutor. There are a number of online tutoring services that hire tutors as independent contractors to work with students. You need to apply at these sites for any available positions and find out what their requirements are.