Do you have kids that need boosters/ car seats? If so, Disneyland express. Or a private shuttle service that will provide them. I do not recommend shared shuttles like Super Shuttle, because there’s no guarantee you won’t end up toodling all over LA before you get dropped off last. Happened to me last time I tried it- two hours, just from SNA.
If not, Uber or Lyft. If there’s 4 or more of you, you’d probably need an UberXL (bigger, with room for your luggage). Or if you want to go a bit nicer without going the super expensive limousine route, you can do a private car service. Lansky’s is very popular on these boards; their website shows their special rates to DLR from the different airports. They include meeting you at baggage with a sign, bottled water, 20 minute grocery stop, etc. I may go that route myself next time; we’ve had a couple questionable Uber rides lately.
Also when I try to price other car or limo services online, you have to give them all your info and email so they can contact you with a quote- which I hate doing, because you know you’ll be getting the usual deluge of spam from them and all their affiliates until you can hardly keep up with the “unsubscribe” buttons.