I'm a bit confused, because when I try various rental companies (all companies are known and seem to be reliable) I get very different car rental offers. I mean the price for the same class vehicle differs a lot. Some companies give rental offer with all insurances includes while the others, judging by the price, maybe no insurance included at all (can it be so?) I suppose third party liability insurance is obligatory? Maybe insurance can be chosen later at the rental spot? Or maybe only basic insurance is the way to go or should I not risk and take CDW?
The companies prices do tend to vary.( Honestly, I usually go with Enterprise) but at a large airport like LAX... the pricings should be close to the same. The only time there's a large difference in pricing is when you go to a place with the desire to pick a specific "fun" car.. those tend to be like a corvette convertible, Jeep Wrangler 4x4, mini cooper convertible, etc..
If you have your own insurance, you can use that for your car rental (I don't know if that's the same for ppl from out of the country). Some places include basic insurance while also offering you the option of additional insurance to lower your deductible in case of an accident/theft. So.. all tend to include SOME insurance while others offer additional insurance on top of that.. if that makes sense.
EDIT: there tends to be some taxes and fees added on top of the charges after you actually book the car. BUT i don't think those costs are shown on the website.
Also, most of the companies do.. but you HAVE to make sure the company you go with offers unlimited mileage.. otherwise you're screwed. It's like .40 cents per mile otherwise.
EDIT again:
Here, go to this website.. you can get pricings per size of vehicle from each company at LAX to compare.
http://www.expedia.com/daily/cars/los-angeles-car-rental.asp
Most of the prices include taxes and fees (but not insurance info). So if you see one that you like and are thinking about getting, you can let me know if you want and i'll call the company at LAX for you to find out their specific insurance information.