Tutoring jobs - online or locally - experience and things to consider?

Hey,

I'm a recent graduate with Psychology BSc Hons, have previously studied Maths, Physics and Psychology at A Level, as well as achieving good GCSEs in Maths, Englishes and Sciences.

I've worked with children before and helped teach and support my sister with different parts of her curriculum. I was wondering if it's a good idea or possible to offer a tuition service, locally or online?

And what kinds of things I should consider or state when offering this service. If it's possible, I'd charge a much reduced hourly rate to the typical tutor given my lack of experience.

If anyone is interested in trialling my services and abilities online for free with feedback, I would be very happy to set something up too.

Many thanks for any help!