In general, is it correct to say, I like to drink milk, or I have to say, I like drinking milk.
If someone say, what do you like to drink?
I like to .......
If someone asks a question, we generally answer using the same wording.
I like to drink milk. is a general statement. I like to drink milk. It tastes good and it is nutricious.
I like drinking milk. suggests you enjoy the process of drinking milk. I like drinking milk when my throat is sore. It is cold and soothing while I'm swallowing it.