If anyone finds any mistakes in my thinking, please correct me.
I'll try to help and see if we can get closer to a solution.
According to them, each of your questions refers to which oscilloscope you can use to perform the measurements in the video.
Since you did not share with us a picture of your older measurements, which you had done by someone else if you got it from them at all, I could only find out something on the Internet.
You don't need super fast sampling.
Based on the video, I measured with a tape measure, maybe the time difference between the two samples could be 1us.
That is, 100kSa/s.
I think most of the instruments on the market are good for this.
The question is, what do you want to do with the result?
It is enough for you that the device displays it, or you also want to save it.
It is enough for you if you saved it as a screenshot or if you want to save it as a data set. which you can later load, for example, into Microsoft Excel and create a graph from it.
As a data set, you can later display several results on a graph to see the difference between measurements.
My tips.
Owon Tao3072, Micsig, Hantek,
Or I'm looking at the Fosc53C, but I don't think it would be good for you, I don't know what the Android app can do.
But maybe Hantek would be more than enough for you. If the vertical sensitivity suits you. The 250MSa version is only 10mV/div.
You can read about Hantek here on the forum.
If maybe not and you are thinking about 1GSa/S, then I would rather buy Owon, I think it has better quality and can do more things.
Both are around 500USD for me when I look at the prices.