Is there an advantage to file for divorce first?

Neither the question of who files first or who moves out of the home first has any direct legal significance or influence on the ultimate outcome if a judge has to rule on any disagreements about the terms of the final divorce. The significance of who moves out first depends on the nature of your relationship with your wife. If you trust each other sufficiently to believe that it isn't necessary to immediately remove furnishings or other items from the home to protect against spiteful or malicious conduct by the other, the only factor to be considered is what the longer term plan for the house will be. The ideal situation is that you and your wife conduct the process of physically separating and pursuing the legal proceedings in an amicable, organized, planned and orderly fashion, so if that is possible it really isn't important whether you file before or after one person moves out. If a bitter and hostile fight over everything is likely, then perhaps it is better to stay in the home until a judge can rule and set out an orderly plan for the physical separation.

The advantage to filing first is that you are in the control of the timeframes within accompanying the divorce. There is no significant advantage to being the plaintiff in the matter, the facts are what they are, however, it is always advantageous to have control of the time frames.

If the house is a marital asset, I always recommend staying put. Also, I believe that filing first is advantageous. Neither of these are "game changers" however.

There is no advantage to filing first, whoever files first presents their side of the case first. If you are already out of the house then it won't matter when you file unless you plan on moving back in. If you want to remain in the home then you would file before you leave and request orders from the court for you to remain in the house.