So, we both know we like each other, now what?

One of my closest friends and I have just recently admitted about a week ago to each other than we have feelings for the other. Neither of us really have any experience in dating or relationships and have now kind of reached an awkward "what do we do now?" sort of stage. At the moment we talk everyday and see each other just about every second. We flirt around and are inseparable but aren't quite sure how to proceed from here. We're both naturally very shy people too. We haven't really told anyone that we are in a relationship which each other although all of our other friends and our families kind of suspect it. We haven't kissed or even held hands yet. We've had lunch together a few times where it was just the two of us and saw a movie together too. So, what now? How would I or he proceed now?

Thanks in advance.
So, we both know we like each other, now what?
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