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Sure, if such chemicals that only killed dandelions existed. I don't want to risk killing the lawn.

I am not sure if there is a chemical that can selectively kill dandelions without affecting other surrounding plants. Then the manual uprooting might just be your best bet.

I found this:

If you have a cool-season lawn and are happy to take the chemical route, you could use a selective weedkiller containing 2,4-D or MCPP, such as Trimec, Speedzone or Momentum, which are best applied in mid-spring or early fall

Ref: https://gardening.stackexchange.com/questions/1941/how-do-i-remove-dandelions-without-damaging-my-lawn

Thank you very much for taking the trouble of looking that up.