Thank you @Dick White. This is a good explanation and very helpful. I do love to know and understand the ins and outs.
My electrician suggested getting this cord: (Cablectric 4 Prong Range Power Cord, 8 Foot - Heavy Duty 6/8 AWG 50 Amp Cable, NEMA 14-50 Plug, Stove Extension Cord to 4 Wire, NEMA 14-50 Extension Cord, 4 Plug Dryer Replacement Extension Cord) https://www.amazon.com/gp/product/B0BW4XFL7R/ref=ppx_yo_dt_b_asin_title_o00_s00?ie=UTF8&th=1
That does say 50 amps and not 60, so I am not completely clear on that.
Not sure yet on the actual outlet- I have him coming out to look. The house is from the 70s and has barely been updated so I think this kiln might fit right in! I don't know enough of what I am looking at to know for sure.
Crossing my fingers!