Decided I was right in the first place with the "Spiderman" drumset.
Found one on Amazon right away (Shit, no wonder Bezos is a Zillionaire!

).
Here are the "technical specs":
Reig Spiderman Drum kit 5-Piece
Price: $46.94
International product from outside the United States.
High-quality drum set for children, robust plastic body.
Audio / video motivation: Learning, Entertainment, Musicality.
Suitable for children 3 years and up. (That's
me...

)
Box contents: 5-piece spiderman drum kit consisting of bass drum, cymbals, 2 side drums, 2 drums on separate stands, professional pedals, poles and stool. (Me: "Professional" pedals? I bet they're just like Dave Lombardo from Slayer uses. Speaking of Slayer I could order
two sets at that price and have "double bass."

)
Now I just need to get in touch with
Jen 
to sign up for lessons.