You are welcome to deposit your research data with the University of Southampton - we can handle MB and GB quantities. (If you have more please contact us before depositing.) These will be retained securely for at least 10 years as per the university Research Data Management Policy.
If you have an option to deposit in a repository associated with your funder, or your publication will pays for deposit in Dryad it is worthwhile considering this. You may find the Registry of Research Data Repositories useful to find out what disciplinary repositories exist in your research area.
You may want to consider the following when submitting a publication: