Can I delete photos off my iPhone To free up capacity but keep the on iCloud and my iPad ?

Wow. I came here trying to free up space on my wife's iPhone, and let me say just how jaw-droppingly awful all this BS is. My phone is an Android. If I want to save my pictures or manage my memory, I plug my phone into my computer, copy what I want, delete what I want, and I'm done. I think we figured out how to do this around 2010. Apple thought this was too easy. My wife activated this photostream nonsense, and for the life of me I can't figure out how to delete gigabytes of photos off her phone. When I plug the phone into my computer, I can't delete anything. I can only see a few dozen pictures, and the rest I guess are on photostream I guess. Who knows if it's safe to delete them without losing them, and even then I have to do so ONE STINKING PICTURE AT A TIME. When I delete the few pictures I CAN delete, this doesn't free up any space. I can't figure out how to empty the trash.

This phone is going in the garbage as soon as we can save the pictures. I seriously hope she doesn't make the mistake of signing up for Apple headaches again. "Easy" and "just works" my butt. Just buy an Android phone. Google backs them up seamlessly, and managing your files is just easy.