My new company does have a 401K that I contribute to. So, now I have 3 retirement accounts- traditional IRA, Roth IRA, and company 401K. Do I need to report the rollover contributions from previous employer into my traditional IRA and Roth IRA as contributions in "deductions and credits?"
no, rollovers are not contributions. Report the rollover in the Retirement section. Report your contribution by entering your W-2, which will have the amount with code D.
You'll get a 1099-R if you received $10 or more from a retirement plan. You can add up to 20 1099-Rs in TurboTax.
Here's how to enter your 1099-R: