This. Simple, direct, and much more intelligible.

“I’ll stay at four hotels.”

"I plan on staying at four hotels.", if you want to more accurately preserve the original meaning (just because it's on the itinerary doesn't mean I'll actually be staying at all four hotels, but it does typically mean there's a plan I intend to follow).

It really depends on sentence flow. With the usual SVO order, the subject becomes the focus.

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..."

Correction: "I'm planning on staying at four hotels, but there might be more depending on how my trip goes (because it's not completely 100% planned out)."

"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).