What clothes are safe in the kitchen?

Depends on your definition of "safe". But I assume you are a relatively safe person because you are asking this question. If I were you, I would wear a shirt, some pants or shorts, and socks. That's about all you need to be safe in the kitchen. If you really want to be safe, you can wear closed toe slippers to prevent falling objects from injuring you toes. Also, if you want to protect your shirt from flying food and splatter, I recommend you use an apron.