I'll ask again - where did it say there was no mass?

There was infinite density which is mass in a zero volume.

You talk about scientists in a disparaging way - "wriggling things to suit themselves when it suits them" as if this mind-boggling question should be easily solved to perfection and everyone's satisfaction. :^O

You say - They" say Einsteins theory doesn't hold up for the moment of the Big Bang sooooooo, why do they keep putting things out as a fact when they're really only a theory?

I don't believe that anyone has said that the Big Bang Theory is a fact. It is just a theory and which so far is the best model (not fact) these very clever physicists with only human brains can come up with. As you have said yourself, there are realised problems with the idea of a 'singularity'. 

Anyway, it won't be the final theory I am sure. There are other theories emerging now