Yes, you are correct this income is considered self-employment income. You will need to enter your 1099 income you received on Schedule C. You will also be able to deduct your expenses you had, like your mileage. Refer to the following TurboTax help articles for steps on how to enter your form and more information on what expenses you can include.
Where do I enter my Lyft/Uber income?
You can file your taxes using TurboTax Premium.
Regarding the payment, TurboTax will help you calculate your estimated taxes and also show you what your payment options.
