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Hi my name is***** me to briefly go over your original question so I don't miss any details.
All you need to do is the following:
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If it is not icloud storage you want, then you can free up actual iphone space by syncing your iphone with your computer, preferably your mac if you have one.
You can also backup your iphone to your computer using itunes or you can downlaod all your pictures to your photos app on your mac and then delete all the pics off your phone. This will free up space on the actual phone itself.
In order ot get your pics on the cloud which it may already be set, but on the phone go to:
Settings>touch your name at the very top>icloud>photos then here it is up to you if you want to turn on "icloud photo library" and/ or "My photo Stream"
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