strike out on own
strike out on (one's) own
To pursue something independently. Now that I can finally afford an apartment, I'm excited to strike out on my own. The singer in that band is so talented that I'm not surprised she wants to strike out on her own.
strike out on one's ownand set out on one's own
to start out to live, work, or travel by oneself. I couldn't get along with my business partner, so I decided to strike out on my own.