Help me with that song

All day I've been thinking, singing to myself.
Over and over again, the tune in my brain's shelf

I can't think of the title, it's on the tip of my tongue
It goes tweedle do diddle, whistle fo fum

Do dee dee doo do, blah wee tra la la
Doo dee de doo do, hum hum ho froola.

Seriously it's driving me nuts, I can't remember how,
The song starts with words, I can remember them now

In the middle there's some words, I think one of them's 'chair'
Or was it 'hair' or 'glare', or maybe they say 'ham-stare'

Probably not, though, cause that's not a word
It's close to 'hamster', but I doubt that's what's heard

I guess I'll keep singing, I'm taken quite aback
I hate when songs get stuck, like an itch in the middle of the back.