Go and get a heat gun! They can be picked up very reasonably, though try and get one that has a few different heat settings.
I sanded several doors using a not so little sander and it just too ages and ate it's way through sanding strips. I got a heat gun and wish I'd got it earlier, it just zoomed through things.
Chemical methods can be good for the fiddly bits that are difficult to get into but they are quite over-powering, so plenty of ventilation required.
HTH Paul
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