Want to immigrate with my child, need help!

Hi im finding it very hard to find out how to move to Australia, I want to move over with my daughter for a better life for the both of us, I am a Qualified Beauty Therapist with 3 years experience, My daughter is 4 years old. Im aware I cant enter the country on a working visa with my daughter but can i go over and look for sponsorship so i could remain there?
Beauty profession is not on the list, Ive been saving a long time and am prepared for it to be tough at first.

would appreciate any help xx