I had the same problem for years. I did all the things mentioned in the post from the gum to spring traps. The only thing I found that works is MILKY SPORES. This stuff works for years, it kills the grubs and beattles in your yard and the moles just move on. Milky spores works for about 10 years, but takes about a year or two to kill off all the grubs and beattles. Once the moles can't find there food source they just move on.