I don't recall many kiddie albums as having much impact on me.
I once had a migraine and "Teddy Bear's Picnic" kept going through my head. I have to tell you that the little 45 rpm in my meagre collection was smashed to smithereens afterward.
I still have, somewhere, a 45 of Georgia Gibbs singing "The Hucklebuck." And there are 45s of Bing Crosby and Andy Williams and Elvis Presley.
My first LPs were the original "Sing Along With the Chipmunks" (and I loved "Ragtime Cowboy Joe" because I knew the song from having seen "Hello, Frisco, Hello" on TV). a Mantovani album with "Exodus" and other favorites, including "Mr. Wonderful", which was my favorite track on that album.
It didn't take me long to discover Disneyland records and then, when I least suspected it, I was "into" film music and among my first were "Exodus," "To Kill A Mockingbird," "The Robe", "The Diary of Anne Frank," "The Wizard of Oz" and "Bells Are Ringing." Many were acquired as cutouts. I did get "Mary Poppins" through the RCA Record Club and have one of the first issues of the soundtrack on the RCA label, rather than the Buena Vista label...same jacket, different label.