Billy, if you have hot water, fill a couple of lidded jars (quart mayo or canning jars are a good size, and stable) and put them in the parakeet's cage, and cover with a blanket. I put a cheap round thermometer in the chicken's pen when it gets really cold (for here), so I can see how things are going.

This also applies to reptiles and other animals sensitive to cold.

Just a personal opinion: I wouldn't ask permission to close down the outer parts of the house. Just tell them, "Warmth here, freeze there. Your choice."

Sue