momofbgtwins said:
When you get to the gate waiting area, or when you check your bags, most airlines require that you fill out special tags for the strollers. You can't just walk to the door of the plane and leave the stroller without the tags. We have always found the strollers waiting for us when we de-planed.

Just what I was going to say.
That special gate check tag is very important.
For one thing, it is what tells the baggage handlers what flight your stroller is going on. You want to get it filled out ahead of time so there are no mistakes. If you wait until the plane is boarding, the gate agent is very busy and could easily enter the wrong city/flight code. Without a tag or with an incorrect tag, your stroller could be vacationing somewhere else without you!
The second reason for the tag is that the part you tear off and keep is your proof that you gate checked something. In case it's lost or damaged, you will need the claim ticket to get any payment/replacement.
When you leave your stroller at the gate, you should remove anything (like cupholders, canopies, etc. that are easily removeable. Then fold the stroller and secure it so it doesn' come unfolded during transit. That makes it less likely to be damaged. If you don't fold it, the baggage handlers will try (and they may not know that the canopy has to be loosened first). Gate checking is not a guarantee against damage - we've had pieces damaged on DD's wheelchair over the years and wheelchairs are much more sturdy than strollers.
The last thing to remember is to pick up your stroller. We're usually the last people off the plane and almost every trip we see at least one stroller sitting waiting there because the owners forgot to pick it up. And, don't be in too big of a hurry to get off the plane. They do unload gate checked items first, but it takes a few minutes after the plane stops at the gate for them to get unloaded.