To add a reminder must I click on the clock icon? I really want to add the reminder as part of the task itself. For instance, can I say "Remind me in 15 minutes to take out the garbage." If so, where can I find a description of what Todoist understands?
Yes you can. If you type <remind today at 2pm> at the end of your task name, for example this will create a reminder. If you click on the date box, then "Recurring tasks and more" you can learn more about the options.