I recently also threw out all of my 78 RPM records, and finally replaced the Gramophone in my car with something slightly better, which seems to be the answer to all of your questions:
AVIC F700BT installed
to the question of music streaming via bluetooth:
I am not sure if there are any receivers out there with support A2DP bluetooth
Edit:
But then again: Google is your friend
A search for "a2dp car stereo" brought me to this which seems to be what you are looking for:
http://www.dualav.com/mobileaudio/xhd7714.php