Removing Brad Nails

So rather than fit my own kitchen cabinets I thought I'd get a professional cabinet maker. He made so many errors I fired him on the first day. Now I'm fixing up the mess and completing it.
One error was nailing on strips of trim to the side of my new maple cabinets.
The trim pieces came off ok but one side has left 4 tiny brad nails stuck through the frame.

What's the best way to remove them without damaging the frame? I thought about cutting them close to the frame, then pulling them through. But they seem pretty stuck. I don't like nails and don't use them unless I have to. Thanks.

 

I put a small block of wood under a pair of wire cutters and pull them out. A piece of heavy cardboard would also work under the wire cutters.

 

I agree although I'd use pliers instead of cutters as those type of nails cut easily.