It is likely what you are seeing is the damage in the yard from voles rather than moles. Moles are only found in the southeast corner of Colorado.
One way to control voles when you have a relatively small population is to trap them. You can use a snap type mouse trap for them. If you have a large population of voles, trapping probably isn't enough.
You can use treated grain to control them. It can be found at many hardware stores or stores that sell mouse and rodent baits. These grains are poison so handle them with care. This is generally the best method for controlling voles.
Deterrents are also available, but there effectiveness has not been fully determined. If they are applied to trees or shrubs they will have to be reapplied from time to time. Fumigants usually aren't effective since the tunnels are so close to the surface.
To repair the yard I would look for a roller that can be rolled over the tunnels to flatten them. Some small equipment rental businesses may have them. If the tunnels are extreme you may need to take out the grass and re-establish it.
I have attached the URL to two fact sheets below that explain how to manage voles including how to use the traps or treated grain. The fact sheets also have other information that may help you.
http://www.ext.colostate.edu/pubs/natres/06507.pdf Managing Voles
If after reading over these fact sheets you have questions, get back in touch.