I use a timer ball for my long battles like a legend, I use a dusk ball in a cave or at night and for some legends in a cave. And a quick ball to catch weak pokemon quick. Also, some side information I got from GameFaqs(I'm paraphrasing) is that a dusk ball has a x4 catch rate when it's dark. After 4 turns, a Timer ball will have a x4 catch rate. And a quick ball will have a x4 at the beginning. And an Ultra ball only has a x2 times catch rate. So, Ultra ball is not the best.
Side Note: My brother caught Palkia with one quick ball.
Super Smash Bros. Brawl
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