Word Distinction: Places To Live In

A house is a building for people to live in and often has more than one level (storey).
A cottage is a small, usually old house, especially in the country and in the US is usually used as a holiday home.
A bungalow is a fairly modern home built on only one level.

A set of rooms (including a kitchen and a bathroom) within a larger building is called a flat in British English or an apartment or condominium in American English. An apartment is usually rented and a condominium is usually owned by the person who lives there.
A small one-room flat is a bed-sitter in British English.
A large, grand house is called a mansion or (if it belongs to a king or queen) a palace.

* Home & House

The place where you live is home, whatever type of house it is:
After the party we all went home to our flat.
British speakers consider that your home is the the place where you belong and feel comfortable and is more than just a house:
Our new house is beginning to look more like a real home.

In American English home can also be used for the actual building:
She has a beautiful home.
"New homes for sale":

* Living in Britian: Types of Houses

Detached house

Semi-detached houses

Terraced houses

In Britain there are generally three types of houses:
Detached houses (separate, individual houses)
Semi-detached houses (two houses built one next to the other)
Terraced houses (houses connected in a continuous line).