salon de beauté
salon de couture
salon
Lounge
in a French house 'un salon' is the lounge. As a business 'un salon de beauté' is a beauty parlor.
Onglerie or Salon de manucure
"salon" is already a French word, it does not seem to fit with the rest. "your place" is "chez vous".
Salon in French is the same as English, salon.
un salon auto
Salon de coiffure.
le petit salon rose
an hair salon is 'un salon de coiffure', most often simply called 'le coiffeur' in French.