What would be the best thing to do?

I plan on moving and have a lot of things to do before leaving. I need to hand in a two week notice for my job but couldn’t figure out if I should leave at the end of this month or just wait until the first or second week of July. I will be in the area I’m moving to the last week of this month and have already asked to be off so I didn’t really want one of my last two weeks to consist of one where I’d be gone. Any advice on what to do would be greatly appreciated