1. She went to the hairshop.

2. She went to the hairdresser's.
3. She went to the beauty shop.
........
Can we use all the expressions?
What other expressions can we use?

2 and 3 are fine. We don't use 1.

Men might use "barber shop."

Yes, all three expressions can be used to refer to a place where someone can have their hair done. They are all commonly used and understood.

In addition to these expressions, you can also use the following:

4. She visited the salon.
5. She went to the hairstylist.
6. She got her hair done.

These expressions also convey the idea that someone went to a place to have their hair styled or treated. Depending on the context and region, some expressions may be more commonly used than others.