Of course you want to edit at home. But this post (which is part self-promotion for it author) does have some great tips for what she calls polishing. (Check my resources page for links to the Purdue OWL, the AP Stylebook and the Chicago Manual of Style.) And fix that first draft.
Self-Editing? Do Not Try This at Home! | Indie Author News
http://www.indieauthornews.com/2015/04/self-editing-do-not-try-this-at-home.html?m=1