How to restore my pictures after my iphone 4 was stolen, to my iphone 5?

My phone was stolen on 13th of August last year. I had an iPhone 4. I never found my phone again so I got an iPhone 5 (which I now have).
I was wondering if I could restore my pictures that were on the old iphone. Any help would be greatly appreciated!
I know you can't backup a newer version to an older version of iPhone, but I was wondering if I could do it from iPhone 4 to 5?

Thank you in advanced for all of your help.

Added (1). Update: I do had my pictures saved on iCloud, I just didn't have sharing stream on, so I understand I can only restore the pictures on an iOS device and not in an actual PC/laptop. However, I don't really know how to do it. I only know how to restore whatever has been backed up in my actual phone.

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How to get the apple i.d. Off an iphone that i restored?

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What is Moschino's price range?

What is Moschino's price range?

Added (1). What prices do Moschino's clothes and apparel range from? 300-1,000+? I would really like to know.