where do your arms go when you flip? They should be nearly stationary throughout the actual flip part of the turn, always pointing back to the far end of the pool. a lot of folks stick their arms out to the side and windmill around the turn.

it just takes a little practice to learn to flipturn with paddle an pullbouy or pullkick (the kickboard/pullbouy combo)

we start from the top
- head folds in and looks at belly button,
- arms either go downwards so they pointforward as fast as possible (the easy way) or go backwards (the shortest and most efficient way) (dont try to use your arm to turn around while flipping, it wastes energy, can hurt your shoulders since you are wearing paddles, and often end up in sending you in the wrong direction, where pushing off first and then pointing the right way fixes it.)
-fold at hip
- depending on technique and old or new school, bend more or less in your knees (remember that the pullbouy should stay between legs without you engaging the adductor muscles, so relax thouse beeping legs!!!)
- feet dorsal flex so they are ready to push off.

- push off with entire leg.
- careful with the dolphin kicks, as they may move the pullbouy.
-turn around so you have belly down and keep going.

et voila you have made a flip turn with bouy and paddles, remember to practice, practice and practice some more.

if you are using one of the pullkicks that do not have the hourglass shape that makes it easy to hold between the legs, you might have to tighten your adductor muscles when flipping, but remember to relax afterwards.

if you struggle a lot to keep the bouy between legs and it jumps out, you can take the strap from a pool belt at hold it snug till you get it down the the art :)

edit: here is a video of a pile of flip turns, some of them are great others not so much, but look at it and focus on how they dont move their arms more than highly necessary and bend their legs (dont look at the silly kids turning around before pushing off)