In the past few weeks, I received two solicitations for work, each with an attractive fee, but in each case requiring remote accessing of my computer; I declined both. While the fees were certainly generous, for me the possible damage far exceeded the gain. If you are considering such an assignment, be diligent.
Glad I could be helpful with a suggestion. I still suggest using a public network and not your own wifi set up if you are going to let them take control of your device. If you are just screen sharing, then it won't matter, but if you give them access to your device, they can access anything on that network. That is why I'm saying to use McD, Starbucks, etc if they "control".