I have an old Kenmore like from the 60's and I have one from 2016, and the good thing is that both are low shank. I use a generic low shank walking foot on the 2016 Kenmore. Yesterday I found a low shank Singer walking foot that I am going to try on the 60's Kenmore.
I somehow have some attachments for a Kenmore that are kinda slant high shank but I don't where I got those from. The Kenmore walking foot that I have is a high shank also
I think that if you know the model number of your Kenmore you can look up what kind of walking foot you need.