Hello @sisterhood2 - I'll do my best to clarify this for you, but if you still don't understand, please don't hesitate to ask additional questions. I'll use your wallet as an example, to hopefully make it easier.
At the moment, you have about 782 HP (Hive Power) that you could delegate to another account if you wished (although you should leave something like 20 HP so you can still post, comment, and vote). If you wanted to cancel the delegation, it would be returned to you in 5 days.
You also have about 500 HP delegated to you (from myself and aliento) as part of your Power Up Day prize. When we cancel those for the next Power Up Day, it will be out of your account immediately, but will take 5 days to be returned to us.
In addition, you have around 830 Hive (also called liquid Hive) that you can either power up to your own account (which then becomes Hive Power), or power up to another account (which becomes their Hive Power and is no longer yours - many people do this when onboarding friends to help them get started).
You absolutely can power up and delegate in the same day, as long as you have enough Hive and Hive Power available.
I can't think of anything to do with HP that takes 30 days. If you wanted to power down your Hive Power, it would take 13 weeks to turn it from Hive Power to Hive (although some other blockchains take 4 weeks to power down, so that might be where the confusion is).
I hope that all made sense! 😊
All clear, thank you.