What's your expected arrival time? Just day of week and time might be helpful since some options aren't available at certain times of the day.
If you're really adventurous and have plenty of time, the biggest bargain would be riding LA's Metro system. From LAX to Anaheim would require taking the (free) Metro C shuttle to the Aviation/LAX light rail station, the Metro C (Green) line to Norwalk, and then the Metro 460 (semi-express) bus to
Disneyland. It's theoretically $1.75 per passenger (for up to 2 hours of transfers from the time you board), although if you want a free transfer that will require getting their TAP interagency fare card, which costs $2. I think light rail means mandatory use of the fare card as they don't have fare boxes like they do on buses. Those cards can be purchased at several locations including the Aviation/LAX station and the LAX City Bus Center. You won't need a child seat for public transportation, but it should be OK if you're bringing infant seats. Also - children are free under 5. Their youth discount program is only for kids in the local school system, so it's the same as an adult fare when 5 and up. My only concern on the bus would be luggage. On light rail there will be areas for bikes, and I've seen passengers place their luggage in those areas.
This gives most of that, although it throws in OCTA route 43 to finish the trip from the Disneyland bus stop to the hotel. I would recommend taking ART (more on that later) from Disneyland.
https://www.google.com/maps/dir/Los...!2d33.798432!2m3!6e0!7e2!8j1674468000!3e3!5i2
Once you get there (regardless of how you get to Anaheim), maybe use Anaheim Regional (formerly Resort) Transportation. It's kind of oddball, but they operate several fixed routes, along with an on-demand ride system. It's legally public transportation subsidized by fees paid by local businesses. They're also contracted to run the shuttles to the Toy Story lot on Harbor, which is pretty close to your hotel. The 4 Harbor line would stop right in front of your hotel, but it goes south first and hits stops on the west side of Harbor before turning around and making stops on the east side where your hotel is.
But the on-demand system is kind of fun, where it's like requesting rideshare, but restricted to specific stops. I've ridden several times on a 30-40 passenger bus where I was (or my kid and I were) the only passenger(s). Theoretically they try to link as many riders as possible who are going to between nearby locations, but that's not always feasible. But they should have no problems giving a group of about 15 a ride. There are different ways to buy tickets including buying paper ones at the train station (plus maybe one other location), or using their app. Their website is highly unhelpful, but you can ask on this forum and there are many who know how it works. They really encourage people to download one of their phone apps.
https://rideart.org/
it all goes well.
