I don’t love “is comprised of,” and think it can usually be replaced with something like “contains” or simply “is,” resulting in a better, more direct sentence. But I’m not going to go on a crusade against it.
"My itinerary is comPOSED of four hotel stays."
or
"My itinerary coNSISTS of four hotel stays."
Much better.
If the context or dialogue goes like this: "Where are you staying for your vacation?" then the logical subject of the answer should come first, e.g. "I am staying ..."
However if the lead-in focuses more on the itinerary rather than the traveler, e.g.
"What is your plan? Can you describe your itinerary?" then it makes a lot of sense to start with "My itinerary involves..." or "My itinerary consists of..." or for a passive voice, "My itinerary is composed of..."
"Consists of" creates a minimum bound, not an exact amount.
For that matter, meaning was already lost in the original post: If "comprised of" was used in the original sentence, it would mean at least one of the hotels was a destination itself rather than just a place to stay (a historic building or something, for example).
To make your “comprised” example correct, I guess it would have to be something like “the alphabet is comprised of five vowels, twenty consonants, and Y, which can be either.”
(Note: Wikipedia lists W as also sometimes a vowel now?)
This is an OK sentence, probably because the alphabet is not very complicated. But we’re basically stuck describing the whole thing in one sentence because of the use of “comprised.”
If we’d gone with “contains,” we’d have more flexibility, we could break it down and do one component per sentence, for example.
It isn’t always wrong, it just makes a lot of decisions for you and they aren’t always optimal.