Filing taxes as a babysitter

Is there a way to set up online to pay into federal, social security and whatever else is needed, if I am self employed and watch 1 child in my home. in NJ?  I started in March, I receive cash.  I do not want to owe a lot of money come January.. However I am a single mom of 3, and do get earned income credit for them. Can I pay in weekly or monthly?  Its hard to estimate, each week is sometimes different..  Thanks