My wife and I travel extensively with our bikes. We usually take them with us on the plane though sometimes we send them separately via FedEx (using bikeflights.com). Destinations include California, Arizona, Colorado, Hawaii, France, Spain, Italy, and Japan. Cases we've owned and used include Trico hard case and a number of soft cases, such as Pike Packworks, Evoc Bike Pro, and Scicon Aerocomfort 2.0.
The Trico hard case is pretty bulletproof and will protect your bike. But it's heavy and bulky, hard to fit in a vehicle at the destination and big to store. Also, TSA will open it and not always get it back closed properly. My preference is for a soft case, though my wife has preferred the protection of the hard case.
The Pika is very well made and compact. It's pretty straightforward to pack a bike in it. It was recommended to me by a friend who is a TdF winning pro, and said it was what he and his teammates used. In my years of using it (10+) I never had any issues with it, and never any damage to the bikes.
A couple of years ago I bought the Evoc bag to give it a try. It's easier to pack than the Pika. I really like it. I use it with the aluminum bike stand and now with the disc brake compatible stand. The bike attaches to the stand, and the stand fits inside the case. I've not had any damage to the bikes using the Evoc, probably 15 trips.
I bought the Scicon Aerocomfort soft case almost 2 years ago because it's even easier to pack. You don't even have to remove the handlebars. I had my doubts about it though, in particular, whether the bars would get damaged in transit. Since you don't remove them, they stick out pretty far. And sure enough, on my first trip with the Scicon, the bike arrived with the shifters rotated in probably 45 degrees. Both shifters. Clearly the bike had taken hard hits from the side and impacted the furthest out points, namely the shifters. On the return trip home, this time I loosened the shifters so that if they had an impact, they'd rotate easily to the inside. But the bike arrived with broken handlebars - the drops on both sides of the bars, just below the shifters, were broken off. There was no way I was going to use that case again and was able to return it. I am aware others haven't had issues with this pack but I did on both legs of my first trip, so it's not one I would use again.
The Evoc is my go to case now and my wife has switched to it too.