Please check if this is an opinion:

He said he hopes to reschedule his trip for next year

No. It's a fact. He said . . .

The whole sentence is not an opinion, but he hopes to reschedule.... should be one.

To determine if a statement is an opinion or not, we need to consider if it is based on personal beliefs, feelings, or preferences, rather than on facts or evidence.

In this case, the statement "He said he hopes to reschedule his trip for next year" is not an opinion. It is a reported statement, indicating what someone said. The statement does not express a subjective viewpoint, but rather conveys an objective fact about the person's intentions to reschedule their trip.