You will be a block or two away from our 'Centennial Trail', a paved path that runs from west of Spokane to the eastern end of Lake Coeur d'Alene, about 60 miles one way. It's flat to gently rolling with plenty of 'pit stops' en route. Very nice riding. When you get to Spokane, call or visit Two Wheel Transit (bike shop) 747-2231, 1405 W. 1st, about a mile (or less) from where you're staying. They can give you explicit directions and have the 'official' Centennial Trail map.

I have no affiliation with Two Wheel other than they are my fave LBS.

Have fun, the weather should be warm and dry!