Moving two items of furniture: where do I start?

I need to get two items of furniture—a desk and a chair—transported from their present location on the East Coast to my home on the West.

The chair probably needs to be crated for protection; maybe the desk does too.

Where do I start? Do I call movers on the East Coast or the West? Do I want to get several quotes or will they all be about the same? I am assuming these two items could tag along in someone’s truckload; but should I look at some other method, and if so, what?

I have the dimensions of the items but not their weight. Is that enough information to get estimates?

The items are family heirlooms—not valuable antiques, but valuable for their sentimental worth and in that sense not replaceable.

I can’t assume much, if any, DIY handling on either end.