You don't have an institutional server from your question that allows members of the laboratory to store and work collectively on their data? Additional options may be to set your lab to Benchling, lab folder or eLabFTW. But it depends on what kind of information you generate and how your institution builds IT infrastructure. I've been very much using Benchling and have always been pleased with it. As team I was the only person to use it, I can't say anything, but this was helpful. In terms of working together on paper, I recommend Google Docs personally. There is no universal solution and you must make a specific decision in the field of research (type of research data)