If that Sun LS2000 is in good condition and in budget, buy it!!
I love mine and use it daily, easy to operate and good quality (made by UEi). Good for quickly looking at most automotive sensor signals, I would recommend an automotive handheld scope for your first unit, just because they are more robust!!!
A used Snap-On Vantage pro (or even an old MT2400 graphing meter) might also be a good first choice as they include pin data for test points/expected values etc
Then save up your $$$ for a Pico Automotive set up, because it is the industry standard it has the biggest pool of users to learn and share from, any future software updates will cost nothing ��
If you want bang for buck forget the Chinese stuff, nobody really uses it or shares good/bad waveforms.
U-scope the weak point is the connector on the device is non standard (not 4mm or BNC) and will eventually break, also needs an adaptor to accurately display AC patterns
If you want cam/crank correlation waveforms for an oddball vehicle to check timing, somebody with a pico has captured it and shared it (somewhere in the world)!!!
Later you might decide to get into in cylinder pressure analysis, all the good/relevant training I've seen is on Pico software!!
The real advantage with Pico is the storage, you can record a lot of data and then scroll back through it and manipulate the recording to pinpoint glitches, the triggers/filters/math in the software make it a very powerful tool
The LS2000 will onlý catch whats on screen using a trigger but it's still very useful for 90% of what you need