I would highly recommend you look into moving to Clovis.  It's right next to Fresno and you won't notice you have changed zip codes as you drive through.  Clovis is known for having far superior schools than Fresno.  It's much safer than many parts of Fresno and has a lower crime rate (as it's a smaller city than Fresno).  There are many neighborhood parks around and there is also the old Sugar Pine Trail that runs through the middle of the town that is great for jogging or taking the kids on walks.  Many neighborhoods butt up to this trail.  If you're set on Fresno, I prefer the North East part of the city, north of Herndon Ave between Milbrook and Willow Ave.  Also, many Fresno neighborhoods have Clovis schools rather than their own Fresno schools.  So just be sure to live near a Clovis school for sure.  Hope this helps!