An active speaker can sound truly awful.
An active speaker can sound truly state of the art.
Like all components, it depends on the design, execution, and subtleties of the voicing of the product.
ATC self powered speakers can sound fabulous. I'm sure others can also.
The plus side: eliminates trying to find the perfect amp, cables, eliminates the nasty passive crossover that eats power, dynamics, detail, and has phase issues.
The minus side, it eliminates the tuning possibilities of matching up an amp that fits your sonic aesthetic.
You have to ask yourself: are you the type that loves to tune your system with cables and amps? Do you typically only keep a component for a few years and then get itchy ears and feet to replace it or tune it differently? i If you are, then you may get frustrated with self powered speakers.
If you are the type that hates that pain of dealing with amps and speaker cables in order to find a good match? Then you sound like a good candidate.
If your budget allows you to go up to ATCs I would start (and for me, finish) right there. Truth in the sound of music, good enough for many of the best pro installations in the world, chosen by many who make the music and recognize it when they hear a closer rendition played back.
I love my speaker/amp/cable combinations. But if it all burned I would have a hard time choosing between ATC and what I have.