There is 2-3 things that make your live vocals / PA miles ahead.
A. 31 band 1/3 octave EQ. This type of EQ is used ("cut only") to control feedback on a live stage.
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B. Electronic Crossover with time alignment.
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The time alignment allows eliminating cancellations due to out of phase signals.
(which is actually a major issue in live sound systems)
This doubles the loudness of the PA system without increasing the wattage. In other words the headroom is increased noticeably by elimination of out of phase cancellations caused by different speaker positions...
C. Multi-band compression, same as used by FM stations / TV stations.
There are "all in one" units that accomplish this.
The signal is divided up into different frequency ranges.
Then each range is compressed separately.
Then the ranges are mixed back together in proper balance.
This not only makes the audio consistently even- level (subtracts variations) but makes the entire pa sound more "studio like."
Sounds more like a giant hi fi stereo than an ordinary PA system. But also the constant level that is far more consistent controllable.