That's all good but I would suggest make sure you are ready. I got my General first then while I was still in study mode, I waited about a month later then passed the Extra class. I found it much easier to pass the Extra after getting the General because now I only had to concentrate on passing 1 class instead of trying to do all 3 at the same time.And Monday night I go for the Extra. That'll be a near thing though. Not nearly as ready but worth a shot.
If you feel you can do it, then by all means go for it.
Good luck!