I can’t even move the apps around like I used to!

Hello, find below some useful articles related to your query:

Remove apps from iPhone

https://support.apple.com/en-ie/guide/iphone/iph248b543ca/ios

How to delete apps on your iPhone, iPad, and iPod touch

https://support.apple.com/en-ie/HT207618

How to move apps and create folders on your iPhone, iPad, or iPod touch

https://support.apple.com/en-ie/HT200290

If you are stil having issue, can you tell us more about what kind of device and iOS version are you using?

Regards

You lightly press on an app until it wiggles, then tap the "X". What is happening when you try to do that?

The icon I’m trying to move then freezes after which the phone locks up: latest update on iPhone 7