I just traveled back ten years in time to when I told my immediate family. It hurt, there were tears, and they all said something similar to what your family did--they love me, but...
Some members of my family have come around in that decade, some have not. Your self-worth is not contingent upon anyone's approval. Remember that.
"And though I may not know the answers, I can finally say I am free. And if the questions led me here, then I am who I was born to be." --Susan Boyle
"If all fools could fly, the sun would be eclipsed forever." --Dutch proverb