Moving all storage to icloud+

You can move stuff from applications that supports the use of iCloud, an example would be photos by enabling the "Sync this iPhone" option in iCloud, under the "Photos" row.

If you wish to move data to iCloud, applications that supports iCloud by default will show up in your iCloud settings under "Apps using iCloud". Enabling the application inside the iCloud settings will enable the application to shift unnecessary data or data that can be stored in iCloud automatically. Do expect this process to take some time depending on your network connection settings, speed and the app itself.

Do note that you cannot move apps completely to iCloud and still expect to use it as is. Apps that you frequently use like WhatsApp can be backed up to iCloud, but cannot run off iCloud as iCloud is a online storage service meant for storing of data and not to use live.

I think I see your problem. Your phone's memory is full. Like WongWJian said, iCloud storage won't help you there. You can't extend your phone's internal RAM with added iCloud storage. One thing you might want to consider, if you have a lot of photos and videos is to get the Google Photos app and sync your photos/videos to the Google cloud. Then you can remove some photos/videos on your phone to free up space and keep them available in Google Photos. This is unlike using iCloud for photos/videos, where deleting them on your phone also deletes them in iCloud (because they are synced to your phone). This is what I do.

I believe when you purchase more storage it just extends what you have. There is probably no need to "move" anything. What you already have on iCloud will still be there but you will now have more storage going forward.

So the first part shows how much storage your iPhone itself is using (62.8 GB out of a total of 64 GB). Your phone is almost full! Have you enabled backups for your apps? That data is stored on the iCloud (if you enable it).

Does your settings look like mine?