Golden1789,
Late autumn is a wonderful time to walk the Camino. However you must
be prepared for varied weather. Nights can be chilly or cold and freezing rain or even snow might occur.
Be sure to read what others and I have posted in
this earlier Forum thread describing late fall conditions on the camino.
Since the crowds of summer are past you will find the welcome at those albergues which are open to be most sincere. Not all will be open since many close for their well deserved vacation starting mid October, but the hospitaleros usually know who is open on the next stage. Most open albergues will either be heated or have blankets, but not all.
All my caminos have been in autumn and winter. Perhaps you would find my blog
Camino Gazetteer useful for your planning. This coordinates all postings by 75 locations where I halted and includes a Kit list and some walking tips. Whatever you plan to take be sure to test wearing and carrying it. Tried and true is better than new and never worn for all your camino gear.
Happy planning and Buen Camino!
Margaret Meredith