Good luck and shoot straight !
I have only one bear to my name, but like you I asked lots of questions. Take a responsible shot so the bear dies quickly and so you can locate it fast.
Get the skin off soon, get the meat cooled. I had to check mine in whole (field dressed) so I had to hurry and get it checked then get the skin off.
Then I spent a bit of time boning the meat and getting it into a large cooler for transport and cooling. At that time I excised as much of the rump and back fat as I could an put it into a clean bucket, then froze it. When I was able to, I thawed the fat and simply rendered it ( melted it on the grill, in a large vessel, then scooped off the liquid, passed it thru a funnel with a cloth filter) into individual quart sized storage tubs and then refroze them.
Before you go, have a plan for how to get it out of the woods. A cart, or a mountain bike ( lay the bear over the seat and handlebars and walk it out) could help unless you have some help or can drive a quad to it.
Also, talk to a taxidermist and find out what cuts you should make and where, for a full body mount (expensive) and for a rug (less expensive). As I recall, they may be a bit different.
ChuckC