1 keep handy in the hall a microfiber cloth to dry their hair. It absorbs water and is easy to wash and quickly dry, better than usual towels. Also very good when it's raining or after the bath. You can keep it also in your car.
2 Wet wipes to clean paws and hair especially if your dog had mud under his paws or if he walked on a road spread with anti ice salt.
3 Brush and carder. The golden has wonderful hair, when dry just brush it to remove dirty. Brushing them daily prevents to have hair all over the house
4 Wash your dog. Often on webs we read to wash dogs max twice a year but for a dog staying inside that is not doable, think of white couches and marks on walls! If your dog has skin problems use special products like Leniderm or Ribes Pet once a month. You can also use dry shampoo to refresh his hair.
5 Blower. It helps both to dry his hair and clean him from dust and everything on his hair.
6 Silicone broom. It is not so expensive and catches hair perfectly. You can wash it with soap and warm water.
7 Manual vacuum. There are several models, the difference is the bag. It you suffer of any kind of alergy better to use then one with bag so to avoid to breath dust. Otherwise the one without bag is very handy because you can quickly empty the container and wash it, plus you save money for the bags. Some vacuums are special fit for dogs hair.
8 Robot vacuum such as Roomba&c. Some only vacuum, others also wash floor. Other models can be planned through a self app. It is handy because the only thing you have to do is emptying the container. Robot is useful, however it does not replace the traditional vacuum cleaner.
9 Floor washer, very handy because quick dried, otherwise traditional mop with hot water and disinfectant detergent.
10 Perfumes that you can find everywhere and of each type. Use it when needed or during raining days to remove the smell of wet dog.
Do you also have any tip to keep your house cleaned ?
… house keeper is not a valid answer ....