Sharing your data and research allows you to contribute to open science and allow other scholars to build upon your research. You can link your shared data to your scholarly profiles like ORCID. Many repositories work with ORCID so that you are unambiguously tied to your research and data.
IMPORTANT: If you have published your work, make sure you check with the publisher to understand which version of your work you are allowed to share. If you would like to publish your work, check any journal's you're interested in to make sure they don't have restrictions on if you've already shared your work.
Things to consider when choosing a repository:
You can think about the FAIR guiding principles for data management. Research data should be Findable, Accessible, Interoperable, and Reuseable. Read more about FAIR principles from GO FAIR: