I would classify the job prospects for chemistry at pretty much all levels as atrocious, no better than esoteric liberal arts majors.
At the BS/MS level (most companies treat the MS as a BS with 2 years experience or as worthless) you could get a bench lab job which are generally low paying dead end jobs. The profession is a staffing agency (Aerotek, Kelly etc) infested race to the bottom and often pays as little as $15 an hour no benefits nor paid time off and very unstable one phone call to the agency and you are on the street.
At the PhD level most jobs are better paying (other than adjunct professor community college etc) but there are much fewer of them and a lot of competition. Many PhD end up in post-doc purgatory.
In short do not get a science degree and try to enter the labor market. Either go to professional school like Med or choose a different major.