Go with the big 4 or the tech mnc
forget about joining the public sector
you will be in demand after you get about 10 years experience (even by the public sector)

that being said, if you dont have a solid technical foundation, your growth is limited
vendors will be able to smoke you and soon you will hit your ceiling
i always tell the guys under me, spend about 3-5 years doing solid technical work (programming and software engineering is a must), otherwise you will hit your ceiling as the soft skill stuff, lot of people can do, but not many can do that together with a solid technical grounding which allows you to be a problem solver (and not a problem bringer/reporter)