Concur with Kibblesmom on CA Route 58 to CA Route 99 to CA Route 46 to Interstate 5.
We had a thread about CalTrans construction this past Summer, and this is the best routing I could come up with through Bing Maps. CA 233 is used primarily for local and agricultural use, and is not a traveler's straight shot. CA Route 58 west of CA Route 99 is being built up with more businesses alongside it, and as a result your travel time on it is longer than it used to be.
CA Route 46 is your ticket.
I've driven from home here to Albuquerque earlier this year, and I can tell you the distance was 780 miles, and 15 hours of time on the road with stops. To go to Monterey, which is further, my hope is you have a driver to switch off with. Stay safe on the roads, and eat all your fruit and veggies before you get to the Needles California border Agricultural Inspection station. You'll lose them there if you have them.
Recommended stops, with a few caveats:
Forget Acoma and Sky City for fuel stops. Far too expensive.
Downtown Gallup for fuel on Historic US Route 66 - lowest prices compared to those on the Interstate in the Gallup area. Food? In Gallup? Unless you want to sit down for a meal at Earl's, just do McDonald's. Food is not anything more than grub in this town.
I-40, exit 353 for the Navajo nation gift shops. Restrooms onsite. Just ask.
Flying J at Winslow for fuel. Exit 255. Great fuel prices, and convenient. Not near as clean a facility as I would like, but they got better last trip after I let the manager on duty have a talking to in front of all her customers. . . I was livid that nowhere on site at either restroom - commercial driver or noncommercial driver - was soap to be had for customer use. You make up your own mind based on my last two trip reports here. Arco is nearby, but not obvious to cross country travelers on the north side of I-40.
At exit 123, get off at Seligman, Arizona for the Roadkill Cafe. Fun place, with humorous names for the selections. Laid back waitresses, and no one takes themselves too seriously. Enjoy! Worth the 45 minutes to one hour break, imho.
Flying J in Kingman for fuel. Exit 53. Big sign, can't miss it. Hands down, the cheapest place for fuel almost always. Downside is that their pumps here don't always have their debit card readers working at all the pumps. . . they work intermittently, and don't put up any "out of order" signs. I hate that double trip to the cashier for fueling. If you don't want Flying J, pick the Arco up the road a bit at the Stockton Hill Road exit, turn right/north, and it's right there on the right. Same price as Flying J 90 per cent of the time. US 93 exit fuel stops of late have been having higher prices than these two this year for some reason. Del Taco on Stockton Hill road up a bit from the Arco is a great food pit stop. WalMart is also in back of the Del Taco.
For God's sake, DO NOT BUY FUEL IN NEEDLES! The prices are easily $1.00 more per gallon than Kingman. You have been warned. . .
Barstow: Flying J past the CA Route 58 exit at the Lenwood exit. Left over the viaduct, and look left at the big Flying J sign. Cleanest and best run Flying J facility in perhaps the whole chain. . . but it's pretty new. Reliably low fuel prices. In-N-Out Burger is nearby for a great road burger. . . recommend these folks to you. Look south in the shopping complex a bit and you'll find them.
Bakersfield: Flying J off of CA Route 99 at the Merced Avenue exit. Very good fuel prices compared to the rest of Bakersfield, and convenient. Another dirty Flying J. Wish they would clean up their act. The convenience and low fuel prices often trumps cleanliness with this chain of truck/traveler stops, and sometimes - like with Winslow, AZ above - I get ticked off enough to let the store know it. Another upside to Flying J is their grocery and hot food selections. Reasonable prices in general, but fattening hot food overall. Alternatively, you can pop popcorn in their microwaves like I did. . . just fill up at the pump if you do as a courtesy. Jack in the Box and Burger King are nearby this location.
There. Have a wonderful and safe road trip!