I'm working for a big multinational corporation as a developer. I decided to do some side-projects and coding in my free time, after work hours.
But the company does not allow me to do the following after work hours:

• Contribute to open-source projects - If I do, I need to get written approval from the company for each repository I would like to contribute to.
• Do any kind of side-projects which are related to coding - As they think I will be their competitor. They have billions of revenue each year...

After I realized how much they are limiting my free will, I started to look for other jobs.

The problem is that if I make my side projects public, they could sue me. But, if I don't do it, how should I get a job, without anything to show in the interview or in the application?

Was somebody in the same situation? What can I do?

I prefer a remote job, as I do not want to relocate my whole family. But, it's hard to find without any 'portfolio' to show. I have several IT skills besides coding as I'm working for 10 years in IT.