When I reglue chairs I use a rubber mallet to take them apart. Sometimes though you can do more damage trying to get one apart then you would be helping it by reglueing it. If a joint is solid and won't loosen with a few hits with the mallet I leave it alone. If the joint is loose held only by a nail and it appears like it's going to damage the chair getting it apart I will work super glue into the joint and leave it alone. I would much prefer to get the chair completely apart and clean as much of the old glue out as possible and reglue the chair with two part epoxy.