perambulation is a good one. My morning walk isn't quite grand enough to be called a 'constitutional'; nor scenic and leisurely enough to be called a 'stroll'; nor yet social enough to be called a 'promenade'; 'perambulation' is just the ticket.
And a "perambulator" is a kid stroller. It was an enlightening moment when I first came across that word in Neil Stephenson's "Seveneves", delved into its etymology and then realised why my British friend called the stroller a "pram". This is just a contracted form of perambulator.
It did not occur to me that there's actually also a verb for it, so thank you for pointing that out! I love it, and I will use it henceforth!