BTW, I'd just go to a local hackspace and asked somebody to teach how to use an oscilloscope. Like, triggering, ac/dc coupling, vertical controls, horizontal controls, probe attenuation, compensation, sampling rate, measurements, math (differential mode, fft, ...), etc. May be even serial decoding
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I also agree on the point that it's quite easy to screw measurements and even burn the DUT. So, sanity check is needed at all times.
An analogue scope and a demo board can be a nice first encounter.
The way I learned how to use scopes is I went to an industrial fare, and a representative of GW Instek was happy to show their equipment, as well told me how to use it, and even gave me a few tasks like to setup trigger on an unstable signal, etc. Then I connected it to their signal generator and played with that. It was super nice experience. Then I went to LeCroy booth and played with equipment I probably will never buy for myself
. It was also interesting to compare ui of different brands. In a few hours I got hands-on experience with Rigol, Siglent, GW Instek, Keysight, R&S and Hameg and Teledyne LeCroy. Although at the end I bought Micsig
. Each scope has own strengths and weaknesses, but frankly, for a typical use it's not that important which one you have. They all let the job done.
One thing to consider is analog discovery 2 (ad2), this is the oscilloscope, signal generator and logic analyzer for my daily use (partly because of differential input). I have much better equipment than ad2 in terms of specs, but it collects dust most of the time.
PS I'd also watch a video "how not blow up yourself when using an oscilloscope". Hint: it's quite a tricky subject.