Good going Conor! It's usually the case that things such as lifted bridges have an underlying cause and you just likely found the cause of what's happening with your guitar.
As to the order of things it's always job dependent or more specifically what makes sense for the job we're doing. When possible I try to reglue cracks in the top and braces at the same time since a loose brace often spans, or should span an area of a top crack. We can't see what you are dealing with so I can't know if this "opportunity" is present for you. But I suspect now that I mentioned this you may be looking for where a cracked or loose brace also has a top crack associated with it.
In any event it does not have to be done at the same time just be sure that where you glue one thing does not prevent gluing something else.
Another decision that you will need to make is if it's prudent or even possible to close a top crack or instead glue it open and fill it. Cracks that have been open a very long time, over a year or so may not close without some brute force in the form of rehumidifcation. I don't like doing this because when I force a crack closed I create stress in the top and it's likely to crack somewhere else in time and when encountering a drop in humidity. A recent crack is fine to force closed and glue it closed.
Anyway fix the braces, top cracks, the reglue the bridge. FYI the bridge is just another brace and a very big and important one that happens to be on the outside of the box.
It's likely that your application for a belly reducer will go away, that's my guess when the box structure of the guitar is restored to it's former greatness.
Repairing chips in top finish, etc. is a can of worms and for now let's just say that no fillers are advisable. There are specific techniques for adding wood when we need to but I would like to see some pics before I offer any thoughts on that. Frank Ford is a member here and he is one of the greats of our time with guitar repair. He runs another site, FRETS.com where the emphasis is pretty much solely repair and there are some great minds on that site too if you want to pick their brains too on these repairs. We are happy to help here too this is just predominantly a builder forum with fewer pro repair people than FRETs. Running threads both places is a good idea IME.
Good going too, nice to see the discovery process that you are now making. It's always a concern for some of us the level of advice that we offer. My preference is to help folks look in the right direction and then hope that they do what you just did, look further on your own and notice things as you have. You've got some talent for this my friend!
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