Personally, I'm curious as to what type of job you're talking about. A lot of times that can determine what sort of deductions you have to look forward to at tax time as well as whether you will be required to supply worker's comp/liability insurance (which, btw, does NOT cover you as the "owner" of the policy).
My husband delivered pizzas for many years as a 1099 contractor (yes, this is correct - it was how the contract was set up and executed). He had to report ESTIMATED tips but was not required to provide proof. No w/c-liability insurance required. Able to deduct mileage, cell, car repairs on taxes.
Currently my husband is a drug runner.

He couriers medical supplies. W/C-Liability not required. Able to deduct mileage (over 100k miles at .50/mile, thank YOU IRS.) and cell.
I am the office manager for a flooring company and provide the 1099s to our flooring installers. They ARE required by our state (TN) to provide W/C-Liability insurance which is based off of what income they earn. They are allowed to deduct mileage, tools, and cell phones on their taxes.
So the job makes a world of difference. Becky had one GREAT piece of advice. (Well, she had several, but one in particular.

) If you ever go 1099, open a savings account strictly for taxes and put aside at least 10% of every check into it. This should cover your taxes after deductions. For a part time job, I seriously doubt you will be getting into the quarterly payment realm.