In the first instance, check with your department regarding their plans for setting and accepting coursework and assessment online. Moodle will be the core platform, though teachers and departmental support staff may use various platforms to maintain communication and continuation of teaching and assessment. Many are using Zoom for office hours and/or seminars.
Following the shift to online teaching, LSE LIFE are working on developing online workshops. You can keep updated by signing up to their newsletter here. In the meantime, they have provided materials from the essay-, exam- and dissertation related workshops on their Moodle page: https://moodle.lse.ac.uk/course/view.php?id=5362
The Digital Skills Lab has free online learning in various data science, research, productivity and collaboration tools which can be accessed for free using your LSE credentials: https://courses.digitalskills.lse.ac.uk/