Not sure what other people do, but I always publish at a journal then put my manuscript on arxiv, or whatever field equivalent, and then on my personal website.
First -- Thanks! But second, how do you have the right to that ? Doesn't the institution you work for or the paper's co-authors restrict distribution so to maximize the royalties and recoup research costs ?
Research institutions don’t get royalties from papers. If they license or commercialize discoveries, they will get royalties. Papers are not a source of income for them and are typically a cost center as they pay for subscriptions to the journals full of papers written by scientists they employ.
To add to the other replies, most journals allow you to post a preprint to arxiv or your personal site as long as you don’t use their final layout, typesetting, and branding
Submit manuscripts as e-mail attachment to the Editorial Office at ajmds@scihub.org, A manuscript number will be mailed to the corresponding author same day or within 72 hours