Removing nails in chair legs
I have 8 wonderful old alder chairs, Windsor style, that I'm refinishing. Someone used the nail-in plastic chair glides, now broken off, leaving nails embedded in the legs. They've worn down to flush with the legs, so I can't grab them with pliers. I want to remove them to put in better glides, as we have a tile floor. Before I start mangling them to try to dig them out, does anyone have a clever approach to this?
Also, several of the seats have separated in the middle (where the wood is edge-laminated). As well as gluing them, is it useful to use a metal strip plate screwed in underneath as support? Or other ideas?
Thanks so much!