You are getting lots of good advice here and here is what I would do with my 3 year old (I currently have a just turned 4 year old and about to turn 2 year old so this plan still applies to me now)
Rope Drop but don't worry/stress about being right at the front of the rope
Head into Fantasyland and ask the child in advance if they would like to ride Dumbo or Alice first (you can show them
Youtube videos in advance). Park the stroller near Dumbo and then ride whichever ride they chose and if you think dark rides are going to be an issue (if they will be scared) then just do Dumbo first. Also do Tea Cups, Storybook Boats and the carousal in addition to whatever dark rides you think they will like.
This will probably take you to about 9:30 or so in my experience. Around 9 if you think they are going to need a snack/second breakfast (mine always do) then either mobile order something to share from Red Rose Tavern (I usually do the breakfast platter with an extra side of tots) or if you are okay with sugar loading them then the mini doughnuts at Daisy's Cafe in Toontown are always a hit. Schedule the food to be picked up at like 9:30 or 9:45 and after you eat grab the stroller from Dumbo (if you ate a Red Rose) and head to Toontown. If the line isn't massive for Runaway Railway do that but if it is too long than just skip it. Head to Goofy's Playground and let the kids run around/play for a bit and then head to Mickey and/or Minnie's house to get some fun pictures. If your child is actually 35 inches (in shoes) and you think they will enjoy it then take them on Chip and Dale Coaster in the back of Toontown.
I always schedule a sit down lunch for 11 (if I can) or 11:30 so if you have time go on Small World (you probably won't) after Toontown and then it is probably time for lunch. If you are only doing
Disneyland than I would try and book Cafe Orleans for 11:30 or if you don't want a place with a reservation Rancho Del Zocalo is also a hit with my kids.
After lunch my kids are ready for a nap so we go back to the room. Even if your little one doesn't nap time back in the room away from all the stimulation is always good. If going back to the room isn't an option than taking a ride on the Disneyland railroad all the way around a couple of times (the grand circle tour) is another good way to just rest your feet and take some down time. Each roundtrip takes about 20 minutes so go around at least twice. Unless you want to fold up your stroller just leave it at whatever station you get on at and then get off at the same station to pick up the stroller.
After nap/rest I would try to do Small World, Jungle Cruise, Buzz and Autopia in whatever order makes the most sense in terms of lines. You can also do Pirates and/or Haunted Mansion if you think your little one would like it. I would mobile order some ice cream from Gibson Girl to eat during the 6:30 parade and then do a little bit of shopping for a souvenir before calling it a night. You can also order some corndogs to eat during the parade if you are hungry or order them to pick up after the parade to take back to the room/eat on the way back. My kids love eating a "backwards dinner" where we eat ice cream during the parade and then have a floor picnic at the hotel with whatever food we grab on the way back (usually corndogs).
This probably a little too specific for you and you know your own kid best but this is general plan that has worked for me.
