Is it wrong to keep our relationship a secret? advice?

[Coco]

My boyfriend and I just started dating. Well we both agreed to not make it really public yet because honestly a lot of people know us and that was what broke up both of our last relationships. Along with that we both came out of relationships the past few months and dont want it to seem we are just going from one to the next when its honestly not like that.

So we decided to keep it between us. Don't get me wrong if people ask we will say yes just not going to put pictures on Facebook and all over each other everywhere blah blah blah.

Is this a bad idea?Opinions please (Yes we will start eventually just not right now)