Hey fjsr,
We'd be happy to help out and understand that when attempting to AirDrop from your iOS devices to your Mac, it's waiting forever and not completing that process. You mentioned your iPhone and iPad are updated, but it's unclear which exact version you have installed on them.
Let's go ahead and make certain that both are running iPadOS and iOS 16.1. For help with updating, check out the following resource best equipped to assist: Update your iPhone or iPad - Apple Support
Afterward, test things out with AirDrop from your iOS devices to your Mac further using these steps:
How to use AirDrop
1. Open an app, then tap Share or the Share button
. If you share a photo from the Photos app, you can swipe left or right and select multiple photos.
2. Tap the AirDrop button.
3. Tap the AirDrop user that you want to share with. Or you can use AirDrop between your own Apple devices. If you see a red numbered badge on the AirDrop button, there are multiple devices nearby that you can share with. Tap the AirDrop button, then tap the user that you want to share with. Learn what to do if you don't see the AirDrop user or your other device.
If the person you're sharing content with is in your Contacts, you'll see an image with their name. If they're not in your Contacts, you'll see just their name without an image.
This information and more is available here: How to use AirDrop on your iPhone or iPad - Apple Support
We hope this information helps out.
Take care!