I'm considering taking an LLB + LLM at Oxford or Cambridge, as they are far more affordable than an equivalent school in the USA and at the moment it is more convenient for me to continue my education in the UK.

I understand that a 3 year degree from either makes me eligible to sit for the NY Bar, but what about the job market? Is it more advantageous in joining a law firm, etc., to have my law degree from one of the two most prestigious institutions in the UK or to study at a less prestigious firm in the USA? Will employers consider a British education an asset or a drawback?