If you found Kodachrome, you'd be unable to develop it. IIRC, processing Kodachrome emits a deadly gas that must be handled which is beyond the ability of hobbyists.
The link to eBay is for color print film. IIRC, it was C-41 process. Again, IIRC, you could process it yourself but I never remember anybody doing so. What you can do and enjoy is printing from the negatives. I did that for months while I had my short career as a pro snapper.
Printing color is difficult unless you're doing so on a mass scale. It takes a few tries to get the color right which is OK if you're doing hundreds of prints as I was but expensive for a single print or two.
IMO, for a reasonable cost in film chemicals, paper and equipment, monochrome is the way to go. While I don't subscribe to the claim that the look of film is better than digital, I'll concede that a master printer using silver can produce monochrome prints that will impress even the most crabby critic.