More Ways to Baby-Proof Your Home
Any stair cases should be blocked off with a well-affixed baby gate. There are many varieties available, so find one that works for you. If you will be spending a lot of time going up and down the stairs, you may want to get the swinging variety so you don't have to step over each time. You may need one gate for the top and one for the bottom of the stairs if your child spends time on both levels.
The kitchen and bathroom will likely take a fair amount of time to baby proof. Keeping the bathroom door closed at all times is a good idea, but if you keep any cleaning items under the sink, you should lock the cabinet. Likewise, you should do the same in the kitchen to any cupboards or drawers that contain dangerous items. If you have a pantry, do the same. While they likely won't find trouble in the pantry, it is worth saving yourself the clean up to have it secured.
It is likely that your child will still find ways to get into trouble; kids are good at that, but with some careful planning, you can get the most dangerous places of your home secured. Baby and child proofing is an evolving exercise due to the fact that kids will always find new things to focus on. By keeping an eye on their habits and abilities, you can easily predict where they will go next and keep it off limits.