There's no upcoming rain or snow forecast. Should I water my trees? If yes, do I water all of them or just the evergreens?

Look at you taking good care of your trees. Often overlooked, but as essential as they are beautiful, having healthy trees is a win all around. 

John Denver would think you're swell.

With our fall moisture, only trees planted in the last year need winter watering, although it doesn’t hurt to water others. Both deciduous (drop leaves) and evergreens need watering. From now into spring, water about once a month on a day when the temperature will reach in the 40s. This way the water will soak in. The amount of water depends on the size of the tree or shrub. Slowly pour the water in the planting hole so the water will absorb into the rootball as well as the surrounding planting hole. Keep pouring until the planting hole no longer absorbs water.

If you're interested in a bit more info on keeping your plants happy all winter and into the spring, check into these tips from Fort Collins Nursery.