What to do?

So in my last relationship, I didn’t really like the person so I ended it. I just got into a relationship, yayyy! But I don’t know what to do. Like how many times should I text them and at what point if they don’t respond should I ask if everything is okay. I really don’t want to ruin this relationship. I really really like them. But I am scared to mess it up, by being clingy so please give me advice. Thank you :)