I have the same machine BD 6/10/1910...You can buy the grease and oil for her right at Joann's...I think it's put out by Singer. I also think you can find the manuels right online via the Singer Website...The manuel will tell you exactly where to put the grease and oil. Very easy to maintain...I cleaned and oiled mine...
Also is a model 66...uses Classic 66 bobbins sold at Joann's (Metal) don't buy plastic bobbins.