LilyGrace has been scratching a lot....it seems this started after emu oil

So today after her bath, I did not use emu oil...and so far, no scratching.
BUT anyway....and again, this seems to have happened when I used emu oil (I used too much of it)...but Lily would scratch and get her hair all tangled. Her claws (yes they have been trimmed) would get caught in the tangles...what a mess.
After spraying with conditioner and combing the tangles out, so much hair would come out and there is a lot of breakage in some areas.
Today her hair has not been tangled. So I am thinking it was the use of too much oil. --other Mojo's hair didn't get that way.
What is the best product to use to help w/ the tangles and hair breakage. And a new conditioner too!
Any lists of products that are tried and true would be GREATLY appreciated!