Strollers are common on the bus and monorail. If you can rent a stroller from a rental company in Orlando, its worth it and their strollers are top notch and essy to.load and unload.
No need for an infant seat. I didnt see one at all the whole trip.
As for hotel, the bus is a PITA. But the monorail what the PP said in regards to not going to all attractions.