There really is no difference between giving drops or pilules in home use. It is a personal preference based on, often, the age of the child.
Drops can be easier for a baby.
If you want to give to a sleeping baby, a pet or an unconscious wild animal (ie one of those birds that has flown into the window!) you can just rub on the head, on the gums or on the wrists. Any of the pulse spots will do and the remedy will work.
A 25ml bottle of drops and a 10g bottle of pilules contain a similar number of doses.