There are low cost DSO's out there that will do everything you want. Don't even need to hit that $400 limit.
https://www.amazon.com/Hantek-DSO5072P-Digital-Oscilloscope-Bandwidth/dp/B00RJPXB6Y
These days, they auto-range and auto-measure for you. How long does it take that signal transition to settle down? It says it's about 10 us. No need for old school division counting, unless you're into that sort of thing. On screen display of most parameters (AC/DC coupling, volts/div, sec/div, trigger channel, trigger voltage, trigger on rise/fall/pulse, signal primary frequency), one button save scope screen image to .bmp file on USB stick, weighs a couple of pounds and is about the size of a football, yadda yadda...