The TDS360 is AFAIR a 200 MHz, !GS/S dual channel.
This is one of the older digital oscilloscopes from Tek, memory depth is 1k . So if you can get the scope cheap and in a working condition, for audio work has mor e than enough bandwith to work.
One more word about the features: The screen looks bigger, but becaue Tek display the menu informatin there too, you will have the same 8x10 cm display area for your measurement.
But you will easily get used to this, because having inforation (automatic signal RMs maeasuremnet, etc - AFAIR there are more than 20 automated maesuremnts build in) is often hlepful.
The update rate is a litte bit lazy, so you notice the typical "delay" between taking a measurement and seeign the results, typicla for most older digital scopes.
And the usual remarks that jim and I give: The TDS360 is out of Tek service, uses special parts, so repair if necessary can be a problem (can, but must not, your mielage may vary).. Etc.
Well, there are a lot of posting here in the board, so do a little bit google.
And if you can arrange to test the TDS360 before you buy it: Do so, and take a few days to see if you like it before you finally decide.
I am happy with my TDS340A and 380, both they work reliable and sturdy AFAIK. I replaced the original fans with low noise fans (from Sytem Pabst), but not because of failure. Only because of feeling more comfortable. But I like my Tek 2445 and 2465B too. It is a matter of taste if you go for digital scoeps when you have experience with anlogue ones. But in your case, for taking documentation: go for the digital, it can ease this part of the work a lot. Don't forget to make shure your computer can import the data. If it cannot: Winfrieds proposal may be a good idea too.