I would definitely recommend Tierrasanta since you’ve got children. Good schools, parks, central location.
There’s a storage place very close as well (just off Tierrasanta Blvd, southwest of the 15). You might also want to check out PODS–competitive prices and if they can pick up and drop off at your particular address, very convenient. Their facility isn’t too far from Tierrasanta either (not that you’ll necessarily need to go there). I used them for a six month stint and was very satisfied.