How to not let stutter get in way of career?

How to not let stutter get in way of career? I have what can be called a severe stutter, as there are occasions when I pretty much block on every word. On average, I can block or stutter every couple of words. I am also a covert stutterer, as I spend quite a bit of energy at any time when talking to people to avoid stuttering. The subsequent anxiety is very much apparent to others, since some people have called me a tense and nervous person during conversations. It also makes me less sharp during conversations, as brainpower is taken away that could be used for more in-depth thinking. I want to be a more natural conversationalist and not let my attitude to my stutter dominate my interactions. I am learning to accept my stutter and I am letting it happen in informal, low-stake situations. But at the same time, I want to minimize my stuttering at work and be able to communicate effectively during in-person conversations. In addition to dealing with important information that I need to be able to relay back, there are so many people who would try to find anything they can deem a flaw and then use that to write you off or even the organisation you represent, so I hope I can find something to manage my stutter to a more manageable level.