The verbs 'start off' and 'start out' are used to say that you are beginning to do something. There are only VERY subtle differences between the verbs and most people will use these interchangeably. But in my opinion the main difference is that 'started out' implies a clear goal that wants to be achieved, while 'started off' is more casual and does not put as much emphasis on the thing that you began doing. For example: I started out to write a short story, but I then I realised I loved non-fiction. She started out as a lawyer, but then moved into politics. Both these sentences convey an objective. On the other hand 'started off' sounds more causal and doesn't emphasis the action that you began with as much. For example: When I cook carrots I start off by peeling them. I started off playing basketball, but decided I didn't like it so I changed to cricket.