First off no, you can't take a stroller in any line with you and there are also some pavillions in Epcot and a few other places where strollers are not allowed. I recommend using a sling or snugli in addition to a stroller to wear baby in line, on some rides anyplace you can't take the stroller.
Babyswap (rider-switch) is terrific but can only be used on attractions with a height restriction. So in your example of POTC - you won't have the option to use it. You can however take your baby on any ride without a height restriction, mine loved everything!
Rider switch, baby swap etc - wonderful for families!
Here is my attempt at an explanation:
First, my advice is to always check with a CM at the ride you are interested in using the swap for before you stand in line, (fastpass, single or standby). Tell them you want to baby swap (rider switch) and see how they want to handle it. Nobody wants to stand in line only to find out baby swap isn't offered or they handle it differently.
Even if you rode the ride yesterday using the baby swap I would still ask again today because different cm's sometimes handle it different ways. It varies from attraction to attraction and even from day to day but IMHO it always works well.
In my experience only rides with a height restriction offer rider switch and only if you have the child who dosen't meet the requirement with you. We made the mistake once of sending my sil and dear neice for an ice cream before asking about the swap pass only to be asked where the "baby" was. So be sure to get the pass before you send the other half off to the meeting spot.
The most common way to do the switch when a child is to small to ride is to give you a rider swap ticket for the second parent to use later the same day for that attraction only. It works like a Fast Pass but for up to three people and with no time limit. A very few rides still have you wait at the exit and switch with the other party but most rides now use the rider swap ticket. (I think Star Tours still does it this way.)
I prefer the rider swap ticket as we didn't have to entertain toddlers in line for an attraction they couldn't ride. Instead, after we got the switch pass we went for ice cream, to see a show, change a diaper - you get the point, while the other party rides. Then later in the day the other parent rides while the parent who rode first entertains baby.
If a child is tall enough to ride but chooses not to you will all need to wait the line and switch at the exit. In this case using a fast pass works better!
Hope this helps!
TJ
