How do I get my photos transferred to my new phone? It has 132 GB and i only have 14 pics so far

I had an iPhone 6s Plus in the beginning but my screen broke so I went ahead and got a new phone. I now have an iPhone 7 Plus and while everything else transferred to my phone, my pictures are in idle. I haven't backed up my iCloud since the 10th of October so I'm not sure if that has something to do with it or not. I just want my pictures on this phone but it's saying I have no space to bring them here. It has pictures of my newborn in there and every moment of those pics are so precious to me. If anyone knows what I can do that would be helpful! Also, if you can tell me how I use my phone space instead of iCloud storage that would be great!

Your best bet is to connect your old iPhone with your laptop (installed iTunes) and take all backup.

After that comment your new phone and restore using the back you took of your old iPhone. In this way all data will be copied.

You could also download "Move to iOS " app from App Store.

Open app on both devices and pair each other. Select what you wish to transfer and continue.

Hope this helps.