What is the best way to help a toddler's finger injury and the pain from it? just kids' tylenol (acetaminophen) or ibuprofen?

Yes; pain relief: Tyelenol or Ibuprofen are appropriate for pain relief; if the finger injury is closed, ie not bleeding, may apply ice to area to help ache. If possibility of broken bone/finger, take to urgent care or er.

Yes: Immobilization can help also.

Painful injury: Initially apply ice . A children ibuprofen is better in such conditions as it is anti inflammatory . Support with a wrap or bandage