How to transfer contacts and pictures to new iphone?

I accidentally broke my iPhone, so I'm going to get a new one tomorrow. I know they can transfer my pictures and contacts for me but I have pictures on there that I wouldn't want strangers to see (in a secret folder).So how do I transfer contacts and pictures using my iPhone and computer? I'm pretty sure my iPhone would connect to my computer if I plugged it in btw. Only the screen shattered when I broke it.

I think iPhone transfer program is your best choice to transfer your personal iphone files by yourself.

It's simpler than that believe me
Just download iTunes on your computer plu it in and make a back you
Then when you get your new iPhone and are setting it up it will ask you set upas new iPhone, restore from backup and restore from iCloud press back up plug iy in and boom your done