Q: Is there a way to restore just a portion of my backup from itunes? / how to restore your phone with a backup that is larger than your phone's space capability

So I had an iphone 5s 32gb, but it was stolen and so I have been forced to go back to my old iphone 4s 16b. I would like to do a restoration of what was backed up from my 5s since I think that there are some pictures that might be on that back up. However, it won't let me restore my 4s with the backup since there's not enough room. Is there any way for me to see what is on the backup or to only choose certain things? The backup is probably like 20gb worth of data, and I really don't need all of that..I just want to restore the important things onto my phone.