Specialized electronics component stores like Digikey etc have best selections.
In case of eBay or some small web shops in who knows where there's always major risk of Chinese counterfeit capacitors or some rejected batches which failed QC.
I would first check markings of used capacitors and then look for their data sheets for what type capacitors are used in which position.
Also leg spacing and capacitor diameter are important.
Basically I print paper with ready rows and proper length columns for things:
First column holds that Cxxx component number.
Next what I can read read for brand/manufacturer name and serie. (temperature can help in narrowing it down).
Followed by columns for capacitance and voltage
And last capacitor size and legspacing leaving some space for extra markings like if bigger diameter capacitor can fit and voltage of circuitry.
Then I move to computer and try to find specifications like rated endurance, ripple current and ESR/impedance.
Only after that I start doing list of what capacitors are available with at least as good specs.
Though "high performance" capacitor in place of some standard capacitor won't hurt things so I always choose one of the better ones.
In case of tiny caps often switching to step higher voltage one with step bigger diameter diameter if there's space and leg spacing fits.
Capacitor's height is usually less of issue in small ones.
That "documentation" also helps to avoid doing mistake when putting in new caps.
While there are those "audio" capacitors primary job of capacitor in most "job positions" is storing electric charge and smoothing voltage.
Higher ripple current capability and lower ESR/impedance are always good for that.
In switching power supply filtering ripple current endurance affects to how well capacitor can even survive.
Again being in audio signal path is demanding for capacitors and electrolytics aren't even best type for that.
Capacitor endurance doubles per every 10C drop in ambient so 1000h@105C rated cap has twice the life of 2000h@85C assuming other specs are same.
Anyway 1000h @105C is low and myself looked for higher in those few devices I've recapped to make sure I won't be having to open it again because of capacitors.
Once couldn't find any good serie 105C caps in certain capacitance/voltage for small general purpose cap job so took automotive rated 130C Rubycon RX30.
Plastic frame of that monitor might start rotting before that cap failing...
