It is not clear from your question, but it appears that you are seeking immigration benefits for your husband as a result of his marriage to you.
Assuming that you are a U.S. citizen, generally to accomplish this it is necessary to file a petition for relative alien and an application for adjustment of status (along with several other forms and documentary evidence).
It would be wise to engage an immigration attorney to learn all of the relevant details and circumstances relating to you and your husband, in order to advise about eligibilities, options and strategies.
Some immigration law firms, including mine, offer legal services on a "flat fee" basis so that a client will know the total expense from the very beginning, and a few immigration law firms, including mine, offer an initial consultation free of charge.
You change your status by getting married. As for the spouse visa, the process depends on whether he entered the U.S legally or illegally. Please let me know.
All you need to do is become legally married. You are the one who needs to apply for your husband's visa and sogn on as the petitioner/sponsor. This is not always an easy process and generally requires assistance of an immigration attorney.
Simply attach your marriage certificate to your husband's application for a change of status, and have your husband explain the situation in the cover letter to USCIS. Considering the consequences of a denial, it might be a very good idea to retain a professional to handle this process: depending on your status, there are numerous rules that would have to be followed to minimize the odds of rejection of your husband's application by the USCIS.
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