The actions for this song are similiar to "An Old Austrian" -
slap knees, clap hands , 
then snap fingers. BUT with each chorus, you snap your fingers
the number of times required for that verse:

Let's go back to Peter's fountain 
Where we've had so much fun 
We will look for those cuckoos 
And this time there's one:

Chorus:

Yo-delayyy, keeee.... 
Yo-delayy ki ki, yo-delayy cuckoo
Yo-delayy ki ki, yo-delayy cuckoo
Yo-delayy ki ki, yo-delayy cuckoo
Yo-delayy ki ki, yo! 

Let's go back to Peter's fountain 
I will go there with you 
We will count all the cuckoos 
And this time there's two

Chorus:

Yo-delayyy, keeee.... 
Yo-delayy ki ki, yo-delayy cuckoo, cuckoo
Yo-delayy ki ki, yo-delayy cuckoo, cuckoo
Yo-delayy ki ki, yo-delayy cuckoo, cuckoo
Yo-delayy ki ki, yo! 

Let's go back to Peter's fountain
We will have some tea
We'll look for the cuckoos,
And this time there's three!

(Chorus with three "cuckoos"... etc.)

Let's go back to Peter's fountain 
We will look for them once more
We'll count all the cuckoos,
And now there are four!

Let's go back to Peter's fountain 
We will play some tricks
We'll look for the cuckoos
And now there are six!

Let's go back to Peter's fountain 
Where we'll visit my cousin
We will count all the cuckoos
And now there's a dozen!

Let's go back to Peter's fountain 
Where we've had so much fun
We will look for the cuckoos
But this time there's none!

Let's go back to Peter's fountain
Isn't this nifty
Once more look for cuckoos,
And this time there's fifty!