Just looked at the comps on the MLS for any detached home in 91913, 14, 15 with an attached garage. There is presently nothing available. And, rarely is anything under $2500. There was one that rented for $2300 -- in 6 days.
I suggest you contact a local property management company. Also, Craigslist is fine, but be aware that if it sounds too good to be true, it probably isn't. Never send anyone your social security number, money by wire or Western Union or any other personal information without meeting them in person. It is better to have a realtor or property manager show you a home, where possible.
You will likely have to increase your budget and/or consider town homes and condos. There are many wonderful attached homes with garages. They tend to command lower rents and are often lower maintenance.
If you would like me to send you comps, I can do that. I don't show rental homes, but I may have someone in my office who will work with you. Just contact me through Trulia.
Good luck to you and your family; I lived in East Chula Vista for 10 years (and still own property there). It is a wonderful area.