Odinpup,
We appreciate the information. It sounds like you're experiencing slow performance when using the Digital Touch feature in Messages on your iPhone, as well as your iPad. You also mentioned Safari not loading websites or content in websites as expected. We'll keep working together to sort this out.
For the behavior with Digital Touch, does restarting your iPhone or your iPad seem to help, even if only temporarily?
Restart your iPad
Restart your iPhone
Next, let's be sure your iPad and iPhone are both running the latest software versions, which are iPadOS 14.4 and iOS 14.4. If needed, learn how to update here:
Update your iPhone, iPad, or iPod touch
Also, please let us know how much available and used storage space you see listed in Settings > General > iPhone/iPad Storage on both devices. Learn more about checking and managing device storage from this support article:
How to check the storage on your iPhone, iPad, and iPod touch
For the issue you've noticed with Safari, try working through the steps in this link, and let us know how it goes:
If Safari displays a blank page or quits on your iPhone, iPad, or iPod touch
Cheers.