I think the OP needs a DSO for what he intends to do.
This doesn't make a DSO the automatic instrument of choice for all things,however.
If you are using a 'scope as the primary instrument when troubleshooting & repairing a wide range of equipment,an analog Oscilloscope is a pretty hard act to follow.
With your 'scope showing an untriggered continuous sweep in DC coupled mode,you can get a good idea of circuit voltages,check for the presence of desired signals,hum,spurii,etc.
If something looks a bit funny,you can then adjust the 'scope to look at it more closely.
With the same settings,set your trace to the screen centre line with no input,& you have a large display centre zero DC voltmeter,which is great for setting up nulls on bridges,etc.
None of the DSOs I have had anything to do with could run a continuous sweep of this nature without any input--maybe some newer ones can.
A comment I have made on a number of occasions,is about the inability of some DSO's to display a full field of an analog video signal without major distortion of the display due to aliasing.
The ability to display such a signal is an important requirement when looking for low frequency perturbations of the signal,such as AC hum,clamp pulse breakthrough,etc.
OK,analog TV is obsolete in many countries,but the same requirement exists for any HF signal which may be affected by low frequency artifacts.
The usual reaction is:-
"Silly OF!!",followed by a demonstration of how their DSO can display individual lines in a field.
Nice,but not what I was talking about!!