This is somewhat random, and I have no idea what OPs motivations are for the timing of this, but as a general rule, in the US at least, you should always try an

This is somewhat random, and I have no idea what OPs motivations are for the timing of this, but as a general rule, in the US at least, you should always try and arrange for your last day to be the first of the month. That way you get a months healthcare on your existing insurance before having to start COBRA payments or have some alternate arrangement. In my experience, this isn't well known