“Bruno is a good dog and my best friend, but he’s so big. He’s eating me out of house and home! I’m going to have to get a part-time job just to buy him dog food.”
If someone eats a lot, it costs a lot of money to keep them fed. If you spend all your money on food, you might not be able to pay your rent, and then you would lose your house (which is your home).
「ブルーノはいい犬で大親友なんだけど、体がとっても大きいから餌代がすごくて困っているんだ。ドッグフードを買うためにバイトしなくちゃ」
いっぱい食べると食費がかさみます。食べ物ばかりにお金を使っていると、家賃が払えなくなって住む所を失うかもしれません。