Why do birds suddenly appear every time you are near...
Seems like you like the carpenters, right? Every time, you are near, just like me, they long to be, close to you. This does not really seem like a genuine question, do forgive me if I misjudged...I will answer it anyways.
Birds may show up if they do not feel threatened or even if they feel like you have any food left to feed them on. Pigeons and seagulls are great examples of birds that are actually around humans all the time, not being afraid of them so much. The same cannot be said about hummingbirds and other smaller species that are mcuh more "afraid" of human beings. There are other species that can also get used to the presence of humans and some even come when you offer them food, even though this is much more rare to happen.