If you're working in Litchfield Park also take a look at Goodyear and Avondale. If you're thinking about renting, but are certain you'll be here a while (3 - 5 years), it's worth looking at the new builds if only for the variety of homes and incentives being offered.
Just got done spending four days in new builds throughout Goodyear and Litchfield Park. The selection and pricing's fairly amazing.
I am not familiar with Litchfield Hills. Do you mean Litchfield Park? That is the southwest Valley and is home to some fantastic neighborhoods.
Check you the website http://www.goodyearhomesource.com for local info of that region.