Tips for dating a coworker?

Before I get into this, I don't want any talk about how you feel about dating coworkers. It's not my question. Why shouldn't two people, who happen to work together, get together if that's what they want.

We've been seeing eachother for close to a month. We've had an agreement of sorts not to mention anything to our colleagues because, frankly, it doesn't concern them, and we aren't official or anything just yet.

The feeling's mutual, and there is nothing in our work clause/contract to suggest we need to disclose anything.

I just want things to run smoothly between us, like they would if we weren't working together. That's how I think things should be.

Has anyone been in this situation and have any valuable input/experience to share?
Tips for dating a coworker?
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