Carolyn, it's worth a shot, but call the Hilton and see whether they can arrange for their shuttle to pick you up. The airport is just across the freeway from the mian hotel area in Long Beach, so I would say you are looking at a 7 mile taxi ride at most -- say about $25.
Long Beach is great for tourists, because they have the red trolley that stops at all the main attractions. Also, there is a water taxi that will take you to the major sites, too, which include the Queen Mary, the port village (great restaurants), the Pike area, the aquarium, etc.
Here is the LB tourist info ... click on things to do, and they have a great suggested itinirary.
I want to fly America West but from Kansas city to LGB they want $320 per person. Southwest air is the cheapest flying to LAX. Hopefully America West will go down for us. Did you book on your own or go through a travel agent?
I shop Expedia and then I go directly to the website of the individual carriers that we want to fly with.
Have you tried Alaska Air, I think they fly into LGB. As does Jet Blue, but don't think you have one out of your area.
Good luck, let me know how you do.
We purchased our tickets in November for early January flight.