I realize that “you need to do your homework” sounds harsh - it wasn’t meant that way.
You asked for advice, and it is rude of me to say “do your homework” - what I meant was that it appears not all Tek 2xxx 'scopes are equivalent. I have 4 Teks here of different vintages (two of which were bought on ebay) and one picoscope.
I should have said, that I’m not an expert by any means on the nuances of Tek scopes by model number, but I do think that a scope is only as good as it’s front end, and to me a good(*) Tek is very hard to beat.
Digital scopes can lie to you in a number of ways, not the least of which is undersampling the input so that the trace you see on the screen doesn’t reflect the real signal. However, having a display instantly tell you the pulse width in uS can be worth it’s weight in gold when you are debugging a digital system.
If you do buy a scope on ebay, make sure that the screen is still bright and not burnt-in.
Over time, I would recommend getting both a “real” scope and a picoscope, but which one to get first is a difficult decision, and I fear I’m not making it any easier for you. Sorry.
(*) Good, does not necessarily mean new in this context.