My impression is that in English that distinction is made in the
contexts of wills and inheritance and the sale of land and buildings.
A colloquial term for movable things that people own is "belongings".
http://www.oxforddictionaries.com/definition/english/belongings
A person’s movable possessions:
"she didn’t have much baggage with her as most of her belongings had
been sent ahead by sea."
"I lost things, had things stolen, had people rummage through my
belongings, my drawers."
"Manny took some personal belongings from Mrs Schendel, but ignored
many more valuable items."
"They add that nobody should leave personal belongings and money
lying around a house.
In the context of selling land and buildings a distinction is made
between "fixtures" and "chattels".
The following is from the website of the UK professional body the Royal
Institute of Chartered Surveyors:
http://www.rics.org/uk/knowledge/glossary/fixtures-and-fittings-chattels/
What are the differences between fixtures and chattels? Chattels are
frequently referred to as fittings but the term fitting has no
meaning in the legal context. A fixture is deemed to form part of
the land or building. A chattel retains its independence and can be
removed. A chattel does not pass onto the purchaser when the land or
building is sold.
There are two basic tests to distinguish a fixture from a chattel:
Degree of annexation
This depends upon how firmly an object is fastened or fixed to a
property. The greater the degree of annexation or physical
connection the more likely an object is to be a fixture.
Removability
How easy is it to remove the object? The easier it is to remove the
more likely it is to be a chattel.
Legal advice
<including examples>
There is also the standard phrase "goods and chattels". It is used
mainly in a legal context:
http://www.oxforddictionaries.com/definition/english/goods-and-chattels?q=goods+and+chattels
chiefly Law
All kinds of personal possessions:
"inventories of household goods and chattels"