Fill in the blanks with the correct homonyms.
Before I eat them, I will ______ this ______ of pears.

pare, pair

The correct homonyms to fill in the blanks are pare and pair.

• Pare means to remove the outer layer of something.
• Pair means two things of the same kind.

In the sentence "Before I eat them, I will ______ this ______ of pears", the speaker is referring to the act of removing the outer layer of the pears, which is called pare. The speaker is also referring to the two pears that they are going to eat, which are called a pair.