Should I trust movers with my equipment?

When I moved, I had the movers take the speakers each one was boxed and on pallets and the amp.  I took the turntable, which was boxed with the platter removed seperated - my wife personally carried the arm with cartridge attached, but with a stylus guard.  Everything got here safely.

If you are using any reputed movers then you don't need to worry about safety. Read their past reviews and decide for moving. 

For your sake, ignore the responses that tell you that all will be well if you entrust your equipment to movers. It simply isn’t true. Movers typically repack their truck with freight from multiple homes. They can even disassemble furniture to facilitate maximizing space. This is particularly true of long distance moves.

I speak from experience. We just moved 700 miles, only to find that some of our most valuable items didn’t arrive at our new home. We filed a claim for $4K, and received $165 from insurance. That didn’t include the damage to our antique furniture. In any case, my strong advice would be to load all valuables into your car or a rented truck. Don’t, under any circumstances, trust it to movers.

That's scary. I have moved several times  (even long distance cross-country, but not recently) and never had anything lost.
But thanks. Maybe things have changed for the worse...

I have moved a lot in my life and I have never let a moving company move any of my stereo gear. They manage to damage enough of my other things not about to let them touch any of it.