Hi Mary,
I'm not sure how old your baby is. Mine is 5½ months old and I have purchased a few things. Firstly, I heard recently on one of those lifestyle programs on TV that those column oil heaters are good for children's rooms although I find ours is still very warm to touch. If you are talking about the house in general, we have purchased a safety gate to use to block off the stairs and may invest in another to block off the kitchen/laundry area, not sure yet about that one. Target also recently had specials on their Safety1st range and other nursery stuff, so I bought drawer clips, cupboard locks, powerpoint covers, etc. Another tip is to get down to baby's level and crawl around and remove anything that is sharp or dangerous for baby to grab onto such as tablecloths, (There go my decorator tables soon) photo frames, glass objects, etc. You can also purchase plastic furniture corners to cover sharp corners on furniture. It may prevent a few gashes on the head, etc. Our last house was totally made of brick - inside and out and tiles. All those sharp edges would have been a nightmare for a baby. Thank god for carpet and gyprock walls. At least the baby will bounce to a certain degree. You can also invest in a playpen to keep baby in an enclosed area or move your furniture/lounges around so baby can't get out either. Maybe some large floor rugs (the type that won't slip) if you are concerned about the baby falling on tiles. They also warm up the house. All the usual stuff you hear about bathtime, too and now you can buy tap covers to stop them turning on the taps and scalding themselves, ducky thermometers to make sure bath water is not too hot, etc. A stack of things to stop them from hurting themselves. Probably a good idea to browse the aisles at Target/baby shops or somewhere similar and look at all the things available and then see if you could use anything in your situation. I'm definitely no expert on this, but I'm sure when the time comes and my little one is crawling around and then running around, we will be very quickly learning what to look for when he starts to get into it. There are also lots of magazine articles and books with sections on baby safety you can refer to. I don't know if any of this helps. Good luck.