Luna loves having baths in the sink with a bit of running water, or with half a cm of water in. Sometimes she prefers to bathe in my cupped hand with a trickle of running water. Rarely she will bathe in a water bowl. She also likes to bathe by rubbing up against condensation on a cold water bottle.
Anakin likes to flap about in water bowls. I've never attempted to mist him, because he's always been so content as he is.
The only way I cab get my conure to bath is to take her into the shower with me. She wont even stay on her shower perch she physically has to be sitting on you and then she enjoys it. Any other way she just gets nervous
Mine likes a large ramekin with water (cold) trickling from the faucet into it. She bathes and showers in it until she is drenched. But I think a deep bowl would be dangerous, and scary. I'd stick with something where they can always touch the bottom and their back is still above the water. Then they can lower themselves if they want to or not.