HI. WE went to DLP last October when DD was 18 months and had a fantastic time. We have also just got back from Florida - DD now 2y 4m - having spent a couple of weeks doing all the parks non stop, having a great time :)
At both there were families with babies of all ages. On many rides there are no height restrictions at all, so your baby can go on them - things like Small World, ect. None of them do anything "scary" or have any problems for small children.
And for anything which did have a restriction you can make use of baby switch. That is where one of you (with or without toddler depending on ride) queues and the other waits in a certain area. When you have ridden, you switch places with the person who waited behind, so that they can ride.
Our DD had a magical time on both trips. We went at her pace (which seemed quite fast at times ) and most days she had a small nap in her buggy for up to an hour for catch up. We used that time to have a snack or coffee.
DD adored the character breakfast and lunch we did. She had loads of time with the characters and thought it was great.
We found the characters very easy to find and have photos with, especially at DLP and the Studos next door. Never felt rushed at all.
And DD loved the parades and fireworks too.
We didn't stay at Disney accomadtaion either time so I can't help there.
Have you tried te DLP website? It should have height/age restrictions, etc on - plus tips for going with babies and toddlers.
Enjoy :)