Preheat over to 250 degrees. Spread bread cubes on baking sheet. Bake until dry to the touch, stirring occasionally, about 20 minutes. (According to America's Test Kitchen, drying the bread in the oven is preferable to just letting the bread cubes sit out overnight. Something to do with the crystallization of starch, as I recall.) Transfer to large bowl.
At this point the stuffing can be baked in a 9x12 pan for 30 minutes or so, or you can use a crockpot as noted below,which works well if your oven space is limited.
It can work well to cook the vegetables and sausage ahead of time and refrigerate, and then mix with the bread cubes and the broth right before you put it in the crockpot. If the stuffing is really cold, it's a good idea to start out with an hour or so on high and then turn it to low. Then just serve it straight from the crockpot--one less serving dish to wash, and it stays hot.