How do I prevent dougnuts deflating when moving them into the pan?
I suspect @Stephie is correct in thinking they may be over proofed. Having said that, you could try the method that is used when making crullers.

Place shaped donuts on parchment paper that has been sprayed with non-stick cooking spray.

Cut the paper into individual squares (each donut should have enough space to raise without expanding off the paper). Let raise.

When ready to fry, just slip the paper with donut into your oil, it should release right away and you can remove the paper from the oil with tongs. 

Here is a link to a video showing how it's done with crullers.You can skip the first 3 minutes that shows the mixing and piping of the crullers.