Each time we've used the service it has always stopped at Disneyland Hotel first. Then it's gone to the other Disney hotels before heading to the off-site hotels.
We 'might' have been asked by the driver which hotel (can't 100% remember) - I think this was related to where the luggage was being put in the hold.
We last used the service at the end of September. I had a similar situation - it was me and my 11yr old son and it was a surprise for him.
They don't take tickets / payment from you at LAX, you just hop on.
When you arrive at DLH a ticket collector jumps on and grabs everyone's tickets / payment.
We then jumped off after I gave the lady my pre-paid voucher. My son was none the wiser.
Where the bus stops is kind of behind some trees so my son didn't click on to it straight away.
It is just a very short walk from there on the path and across the road (hotel entrance driveway) to check-in.
This is how it's been for us each time anyway, most recently in September.
Enjoy - hope you have a great time : )