salon de couture
salon de beauté
verts de salon
salon
In French, you would say "Je travaille dans un salon de coiffure." This phrase conveys that you work at a hair 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".
la couture (feminine)
In Spanish, sewing is 'coser'. In French, the word used is 'couture'. In German, the word sewing is 'Nahen'. In Italian, they say 'cucire'.
Salon in French is spelled "salon".
un salon auto