My parents moved when I was 3 and an half. I remember distinctly our previous house. I described (much later) to my parents the layout and the colors of different rooms and they were shocked that I could remember.
My 3.5 years old son, still remembers things that happened when he was 2 (visit to disney land for example). But I think it's maybe a bit different nowadays because we have a lot more photos that might help him form and recall his memories compared to when I was a child in the 80s.
Nearly all my memories I have from when I was 2-3 years old were reinforced by having photos from around the time that I looked at as I grew up. Like I remember painting cabinets with my dad as a toddler as they prepared the house to move, and I have photos of the kitchen before the cabinets were painted. I have memories of the move, and I have photos related to the move as well.
I remember being frustrated in a 4th of July bike parade as a small child, as I had lots of long ribbons off the handlebars which I kept getting tangled up in on the bike with training wheels. We had a photo of me on the bike in that parade. I probably couldn't tell you anything else about that parade, but I do remember how annoying those ribbons getting wrapped around me and the sweat and heat of the day.