The difference between 'home to' and 'home for'
For example:

The Milky Way is home to billions of stars.

It's a big home for such a small family.

Could anyone explain me whether 'home to' and 'home for' are the same or not?

Question

The difference between 'home to' and 'home for'
For example:

The Milky Way is home to billions of stars.

It's a big home for such a small family.

Could anyone explain me whether 'home to' and 'home for' are the same or not?

Answer

Think of the first one as a set expression: 
A specific place + is home to + things/people that usually live in that place
e.g. Our garden is home to a fox and sometimes also, a lot of badgers.

Home can also refer to the building where a person lives, like in the second sentence. You could substitute "home" for house, flat, etc.