Flying on PC

Mouse and keyboard here.  Lower the sensitivity until you feel comfortable.  I switched  roll to A/D and yaw to mouse.  This way I don't roll when aiming using the mouse.  I also have the space bar as a 2nd pitch up for when needing  longer turns.  I don't have my controls  inverted because I find it natural to use more like ground controls

I think I am one of the few ones who likes to have their flying controls on Inverted settings. :D

Maybe this has some good tips & tricks as well?
https://www.youtube.com/watch?v=DlsSLd50TF4

Mouse + keyboard. The vehicle sensitivity slider in the options menu at the highest level is not enough. Push your mouse dpi up too for better pitch and roll control. My dpi is 1200 right now, but I adjust it +/- 200 from there depending on how I am feeling. Also, make sure you have that setting ADS affected aim set to 'off'. That setting is better to have 'on' for recoil control as infantry, but worse for vehicle gameplay.

Go with the pitch up/down that feels natural to you. Below are my binds.

w = thrust

s = airbrake

a = yaw left

d = yaw right

mouse left = roll left

mouse right = roll right

mouse forward = pitch down

mouse backward = pitch up

spacebar = pitch up

ctrl = pitch down

shift = afterburner

@anteronoid  It's in display settings. I got the name wrong it is actually called 'ADS Field of View'. When it is set to 'off' you get better zoom in the helis and jets while in first person mode. Helps with aiming

@LlamaWithKatana  IMO precision flight controls are more important than precision aim controls. You really don't want to be predictable in your flight path otherwise you'll get shot down. Most of the time I circle ground targets when I am shooting at them so that means I'm yawing, thrusting, pitching, and rolling at the same time. It's all muscle memory once you get it.  And side strafes are definitely something you want a part of your arsenal as well. Mouse roll control makes transitioning into these maneuvers easier for me. You don't want to aim like you would a gun. You have to anticipate where your target will be and glide into it. Can't really fight the momentum with micro adjustments aiming so you need to manipulate it. I'm kind of always rolling the chopper to some degree.