Doesn't matter. The HP's generally show up immediately. The only thing you'd avoid by apping same day is having the other impact(s) from new accounts reporting (e.g. AAoA reduction).
Vermonster wrote:It is better for your AoAA to app over time if you already have accounts. It is better to app all at once if you have 0 credit.
That's a bit oversimplified. With a strong enough AAoA there may be a reduced or negligible benefit to spreading them out.