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I don’t know about Suzanne Somers and Goldie Hawn lookalikes, but I remember hearing “The More We Get Together” on “Barney and Friends”…
I tried to look it up. It was very similar to Barney and a program called Kidsongs, but I think it was something else (seems like most children's programming had a very similar format in those days.)
"The More We Get Together" and kids in a park sounds like Wee Sing Together, but there was no blonde woman in that one. There are many Wee Sing movies though, maybe it was one of those? There's a list of them on This Very Wiki and The Other Wiki, and I think most or all of them can be found on YouTube, so you could take a look.
Edited by NoriMori
I remember in the early 90s, there was a VHS tape for children starring someone like Suzanne Somers or Goldie Hawn (I don't think it was either of them, but it was a blonde woman who was well known at that time.)
All I remember is that it featured lots of songs; one was about career ideas (e.g., astronaut, firefighter, doctor), and another was the song "The More We Get Together, The Happier We'll Be" where a bunch of kids were spending time in a park.