Actually, if you're going to
Disneyland, it's easier to fly into Orange County (SNA) or Long Beach (LGB) airport.
We almost always used to fly into LAX but during spring break this year, we flew into LGB and it was amazingly faster to get off the plane, get the baggage, and rent our car. We were driving down to Anaheim in no time, taking us about 20min. to get there in night-time traffic. No shuttles to take you from one terminal to another. You get off the plane, the baggage carousel is almost right there, and you can see the rental car agencies right there in the parking lot in front of the baggage carousel.
LAX is a further north, and would take you about 30 min-1 hr to get into Anaheim, depending on the time of day. It's also so much bigger, so would probably take you longer to get out of there.
Where are you staying in Anaheim? We always opt not to stay at a Disney hotel when going to DL. For us, it's too expensive (compared to WDW resorts) and really not necessary as there're too many great choices beyond Disney. For example, this year, we stayed at the Hilton Garden Inn Garden Grove. For $90/night, we had a free hot breakfast daily, a newly renovated room with fridge & microwave, and warm cookies every night.
I also recommend going to Huntington Beach. It is miles and miles of beach and just beautiful, also about 20 min. from DL.
Have fun planning!!!