I have a Seeed Studios DSO Nano, which I bought as a first scope mumblemany years ago. I would say that getting a small scope like that is ok, and cheaper than a bench scope. The downsides are going to be performance, and a somewhat steeper learning curve for the user interface, which tends to be super compact compared to full size scopes. Also, tiny screens, comparatively.
Unless you’re planning to do work with microcontrollers or DSP, or really anything digital, like AO said, anything with an M in the sample rate will be more than sufficient. For audio, you probably won’t be sampling a signal greater than 20KHz, which means a 50KHz sample rate will do fine. You want that 2x overhead to make sure you dont get distortion when taking measurements towards the top of the scope’s sample rate.
The nice thing about a 50KHz scope is nobody wants anything that “slow”, which means buying a used one in that range will be cheaper. Downside of these slower scopes is they’re usually older, which means bigger–sometimes A LOT bigger.
Get at least two channels. My little pocket scope only has one and I’ve wished for more since about the second time I used it.
Probes is probes, as stated, for a beginner at least.
Get something at the upper end of what you think you’ll need. These are expensive tools, and finding out you’ve spent a bunch of money on something that you’ll end up wanting to upgrade, which means another $300, and you’ve got a “backup” you spent nearly as much on, probably won’t use again, and in the case of used scopes you might not be able to sell on to recoup your initial investment.
As with most tools like this, get the highest quality you can reasonably afford and it’ll last you for years and years.