it is CRUCIAL that you get individual coverage BEFORE you get group coverage... because that way the benefits are ADDITIVE
if you get group coverage first then it doesn't matter re: individual coverage because it won't be additive
also important to save up about 6 months of salary because you never know what will happen with your job or your life --- and also because disability insurance kicks in only after 3 months (and that is if they agree that you are disabled - they may contest it)...