HDR, not so good with moving subjects

I knew it wouldn’t go well, because on my camera the bracket exposer takes about one second.  That does not seem long – but to a cat and a wood pecker, staying still that long will simply not happen.  Luckily my software has a ghost removal feature, but it does come at a loss of quality.   So here are 2 shots, kitty and wood pecker.  I added a paint quality to Chewie because of the blurriness of the photo – hoping for a soft quality.