All you need to do is wrap the delicate pieces in two or three layers. Plastic wrap or plastic sofa covers specially designed to protect upholstered items should be used. If necessary, old blankets or packing blankets will also work. Bubble wrap is also ideal for protecting glass tables and mirrors.
It will also provide additional protection on the moving truck, since tying it up to prevent it from moving could dirty or damage your furniture or appliances if you don't carry a moving blanket. Avoiding damage during the move can be difficult if the object you're trying to move safely is large. There's nothing more difficult than trying to prevent your items from being damaged during a move while handling furniture with mobile drill bits. Strangely enough, one way to ensure good service is to have a list of items that moving companies will refuse to move.