Chanel is good quality, but to be honest, if you're someone who does a lot of hands on things, polish is gonna chip no matter what. I think the best part of Chanel polish is pigmentation, but as far as quality, if you can find a dupe from OPI, China Glaze, Butter London or Deborah Lippman, do so
But if you can't, then the color and pigmentation itself is worth the price.
What you should do is use a base AND a top coat. Make sure to seal the top coat on the edges of your fingernails to slow the process of chipping
I used a base coat for the first time and my polish has yet to chip and I'm on my second week.