If you have hardwood floors, don't let your children run around in stocking feet. Socks make slippery floors even more dangerous. Attach cords for blinds and drapes to floor mounts that hold them taut, or wrap these cords around wall brackets to keep them out of reach. Pay attention to the doors between rooms. Glass doors are particularly dangerous because a child may run into them, so fasten them open.
Swing doors can knock a small child down, and folding doors can pinch little fingers.
If you have either, consider removing them until your child is old enough to understand how they work. If possible, move this furniture out of traffic areas, particularly when your child is learning to walk. Test the stability of tall pieces of furniture, such as floor lamps and bookshelves. If they seem unsteady, anchor the bookcases to the wall and put floor lamps behind other furniture. Open windows from the top, if possible.