Cramp my style is the correct phrase. It means prevent a person from acting freely or naturally.
- He’s not putting any pressure on me that would cramp my style.
- Ugh, having a test on Monday is really cramping my style. I just want to party all weekend!
- My parents coming to stay with me this weekend is totally going to cramp my style. When am I supposed to get anything done?
For more about style, see also: