Theoham, it's a great time to walk the camino. The crowds will have thinned out and there should be sufficient places to stay. With fewer places and fewer people you may find yourself more thrown together with the same people (who walk at a similar speed) which is usually a positive - as long as they're not big snorers! You haven't said whether you intend to book ahead or not, or stay in smart accommodation, but you should find sufficient 'rock up' municipal/parroquial albergues for that to not be necessary. However occasionally the key ones close for renovations/holidays etc so it's a really good idea to do some checks ahead on
Gronze or your chosen app. The situation is slightly different when you hit Galicia: a lot of the private albergues from Sarria onwards will have closed for the season, but the state (Xunta) albergues are generally open all year and usually warm and clean, so you will have somewhere decent to lay your head, even if us regulars have other gripes about them...
The first week it will seem really dark when you start in the morning, but then on Sunday 29th Daylight Saving ends and you'll gain an hour of light in the morning (and lose the same in the evening, where it's less important).
PS you may also catch the end of the chestnut / castaña season, where these prickly little jewels litter the paths on the latter third of the Way. These are a particular joy for late-season pilgrims. While they are traditionally cooked in an oven, pilgrims improvise by either roasting them in a pan or boiling them until the skins are soft enough to peel away... often consumed alongside cold beer or vino blanco helado