Trying to get a 3D affect

I have seen some photos in the gallery that can in a way make the bird/image have a 3d feel about it,well I keep trying to get a shot with that affect,by useing the branches in the F/ground that are out of focus,but to get the bird in focus behind those branches,(hope you get what I am saying)
Do you think this photo of the sparrow is getting near to what I am looking for?or is there a set way for getting the sort of shot I am looking for.
thanks for looking.





 

 

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