Being a parent of a German speaking son

I had to learn German songs from Jacob:
Backe, backe Kuchen,Der Bäcker hat gerufen
"Igelchen, Igelchen, schau mal in's Spiegelchen"
"Grün, grün, grün sind alle meine Kleider"
I suppose more are coming soon. The only russian song he liked is "маленькой елочке холодно зимой".

Also I learned from him verbs: Kitzeln, stampfen, klatchen, huepfen. Now I know what they do in a kindergarden.