Yes, you will need the Self-employed version of TurboTax to file your Uber self-employment income on a Schedule C but you can also file Form W-2s from from other jobs, or file additional Schedule C income from other self-employment, all on the same tax return.
If you have contract income from more than one source but it is the same type of business, you can file them all on one Schedule C. For instance, if you have ride sharing income from both Uber and Lyft, you can file them together as one business.
If your income from Grubhub and Door Dash are on Form 1099s, rather than Form W-2s, you can enter your income and expenses from those and Uber on one Schedule C, as a Delivery Service driver.