Does this mean "I remain here" (as in, while you go looking for something) or "I live here" as in, I stay in this house? Or maybe both?
To "stay" means you stay there but you wouldn't be there necessarily in that moment. In that case you would use "Ik woon hier". By saying "i am staying" you say that that is where you are staying currently or you are actively there in that moment. So therefore "Ik blijf hier"... Hope this clears it for you!