Everyone is different so is there somewhere you could go and try some out, preferably without some aggressive sales person going on at you.
I have problems in most of those areas (not coccyx) and others due to Rhumatoid Arthritis and some osteo issues and find a high backed chair with a firm back it more comfortable for me at work though I have issues in my back, shoulders and neck too.
But the OH advisor who assessed me gave me a lumbar roll I can move which is ok for some issues but not great generally. I think it's a very personal thing.
I do find something roomy is good so I can move about and get comfortable is good though, nothing too stiff and restrictive or slippery like some of the shiny leather like sofas. I find a something really nice and soft is helpful to cushion my joints (though you can achieve that with cushions and such) but something a bit raised (easier to get in and out of!) and high hard backed for the support, which you can also pad up with cushions if needed.
I love the idea of a rise and recliner! I've heard some people say they are great if you are comfortable there that you can sleep in it rather than moving to get up to bed then try and get comfortable again.