Well, you have to be careful if you want your fur to last for decades but it is not that extreme, you can narrow it up to having it covered with a cloth bag (so fur can breathe, no plastic bag because it will loose its natural oils) that will probably be handled to you at the shop and keeping it away from direct sun heat or heat in genereal (which actually ends up deteriorating any sort of material), if you have a furrier near by you can store it with them during summer and they will probably deliver it clean next winter.
The most delicate fur of all is chinchilla, because it doesnt have guard hairs that protect it (so for example it gets wet from neck sweat very easily) and its leather is paper thin (rips easily unlike many others), making it extremely light and also extremely soft, it is indeed so soft that you almost do not feel it when touching it, it´s one of my favourite furs and it dyes very well!
By bleaching I ment taking some tones down yeah, Im not sure how it is done but I wouldn´t be surprised if they use actual chlorine of some sort, here´s an example from Jean Paul Gaultier:
The first pic shows natural silver fox and the second one bleached silver fox.
One more tip, in the fur industry black fox and black mink are not produced, the nearest tone for black mink is a very dark mahogany, so each time you see black fox or mink it means it has been dyed.
pics from style.com
PS: It is not precisely dyeing, but what about that golden process used by Fendi, that´s pretty amazing too!