Baby Proofing your house will be a nightmare - so get help. I'm still in the process of accomplishing Baby Proofing Nirvana myself as it is a rather lengthy process. There are so many things we take for granted that once you begin taking into consideration all them tiny details, it can become rather overwhelming.
The most important things to begin with are having clear floors. It will be a few months before Baby will start crawling. Clear floors also means super-clean floors. If cost is not that much of an issue, and you live in a building with tiled floors, I'd advise you to get one of them "magic brooms" that make sweeping the floors a much easier task. That way, if you don't have the time and/or energy to wash the floors everyday, you'll at least have pretty clean floors anyway. When it comes to washing floors, you might wish to invest in a good mop. It speeds up the process both when it comes to cleaning and to the floors drying up.
Make sure to pick up every single tiny thing that is on the floor the moment you notice it. This can be coins, beads, candy wrappers, a piece of string, a button - you name it. As a generic rule of thumb, if something is smaller than the hollow bit in the cardboard roll of toilet paper, then it presents a choking hazard.
Cover up any unused electric sockets with a child-proof cover. This will minimise the chances of accidental electrocution. Also, tie up any loose wires that might be dangling like vines in a jungle under your desk. Your Baby will soon turn into Tarzan if allowed.
Put nonslip mats in bathtub and on the floor next to the tub. Make sure all toiletries and out of children's reach. And make it a habit to put the toilet lid down when not in use.
The more mobile your child becomes, the more precautions you will need to take. Here is a pretty extensive check-list that will help you ensure everything is taken care of.
For other Safety-related blog entries, clicky here, here, here, here, here, here, here and here.