Having lived in Anthem for 4 years, I can tell you that you will pay $240 per quarter - $80 per month - in HOA fees, and they are not rising. For that fee you get a health club membership including a pool and water park, along with community groundskeeping and parks and the like. It does not include trash pick up or yard maintenance. Trash is under $20 a month (paid twice a year) and you can find yard work for $40 a month.
Water is relatively expensive - can run $100 a month - and power will be seasonal, high in the summer ($250 peak) and low in the winter ($35), mostly for AC use - can average $100 over the full year. Your other utilities will vary with what you want (cable, phone etc) - but that covers the major fixed charges beyond your mortgage. Properties taxes are quite low and also not rising, but that will generally be included in your mortgage payment.
I hope that helps. Oh and by the way, I strongly recommend Anthem as a place to live - it's great here. Tons of house for the money, beautiful weather, and a nice family-friendly community.