I think the safety of any town is relative to the area of town you choose to live in. I LOVE Yuma and I feel safe everywhere I go. As a Realtor I have logged over 15,000 miles in Yuma County in the past 6 months. There are many great websites that give you statistical data, but I think it is also something that you need to see first hand. I live in the Foothills of Yuma and I am very comfortable where I live. If you need some encouragement to move to Yuma, Please feel free to check out my website http://www.HotDealsinYuma.com. There are many useful links that will give you more information about Yuma and the recreation available locally as well. As a Parent, one of the main things that I love about Yuma is that I feel like it is a great place to raise kids and safety is an important aspect of that. I hope this helps!
I used the site below for specific crime stats and found it very useful. Yuma has also been ranked highly by "America's best places to live", "Americas least stressful cities", etc. my site is also below for other useful information. Hope that helps and good luck.