The information you need from your daycare provider is:
Each child care provider's name, address, and tax ID number (or Social Security number,) plus the amount paid to the provider. Some daycare providers will supply this at the end of the year automatically.
You would only need a W-2 from your employer to show any reimbursements you already received towards your daycare expenses.
Below is more information from the IRS regarding child and dependent care expenses:
https://www.irs.gov/pub/irs-pdf/p503.pdf