I am all for letting a child have access to as much of the house as possible. We keep cleaning supplies up high or locked away and small choking hazards also out of her reach, but other than that its free for her to explore
The living/ dining room is our home base for most of the day. This is where her toys that are out on rotation are displayed. We are lucky enough to have a spacious living room with space for multiple toddler play spaces!