Yeah. I skipped over the whole black magic of general recording and processing, and went straight to the specific effect.
Obviously you want a good recording of a good performance first, then do all the regular stuff to make it as good as possible before trying to do anything fancy with it.
Some good points above, but talking about 1000 dollar mics seems a bit overboard. If you’re recording vocals you need a good large diaphragm condenser mic, as opposed to dynamic mics used on stage. The Rode NT1 always gets great reviews for good quality at absurd value. You can get one for more like 150 with a pop shield and shock mount (you’ll want both). But you’ll also need a compatible audio interface with decent preamps and phantom power. These don’t have to particularly expensive either, but it all adds up.
USB condenser mics are a thing too, which you can plug straight in to computer. I believe these are generally aimed at people doing podcasts and videos where they don’t need the best quality. They might be OK at a pinch, I don’t really know.
Then there’s the room you record in. A whole other can of worms.
I don’t know anything about audition, but FL should be fine.