Your house tools aren't the tools you use to build a house. They're more like the things that are a part of your house that you use like tools. Those things would be your furniture. So, remember, your house tools are just furniture.
This is a jukugo word, which usually means on'yomi readings from the kanji. If you know the readings of your kanji you'll know how to read this as well.
To get cheap furniture in Japan, I recommend IKEA or Nitori.
The entrance is small, so I'm not sure if large furniture can fit.
This furniture shop has a variety of furniture, such as beds, sofas, tables, and more.
This is money for you to buy furniture. It's not money for going to a host club.