I love that you are starting to incorporate some of these ideas into your home. My daughter and I participated in a video by NAMTA called "At Home with Montessori", where the big emphasis is on working side by side with the child, just like you did with washing the dishes. Children love to be involved in the daily rhythms of the household, working right alongside Mom or Dad with cooking, washing, folding, fixing, gardening, sewing - whatever it is that you're doing. There is also an emphasis on spending time outdoors together exploring nature!
I also offer "M Home Consultations" for our school fundraisers. We set up an area in each room with the child-sized items.
In the Kitchen:
a child-sized table and chairs
a shelf or drawer (at the child's height) that contains dishes, glasses, tableware, napkins
a dish bin to put dirty dishes in (kept in same place, the child will be consistent with cleaning her table)
a pitcher of water
towels available to the child for wiping spills
a friendly attitude towards mistakes!
set the table
wash and slice veggies
cooking and baking
In the Bedroom:
low rod in closet, small hangers
time to practice dressing skills
In the Bathroom, I have a small table with a bowl and pitcher, soap, nail brush and toothbrush set up where the child can reach.
We have the child-sized broom, mop and dustpan. We also have a hook for her to hang up her coat when she goes in/out.