Please rename your data set to the following format: yourEmailAddress (please add _1… if you have several data sets, e.g. yourEmailAddress_1).
Please also rename the corresponding project(s) to match the new name of your linked data set(s).
Export your project as a solution and follow the opening wizard. At the end you can download an *.APMS file that contains your project incl. data set configuration (uploaded data is not included and need to be uploaded again).
Install your exported solution in the new system, by following the wizard and upload your data into the created data set.