I would avoid throwing out a number at first on salary, because then you might be tied to that number. Depending on the setting, you could scare them away, but probably not at an R1.
First, just listen to the offer, say "yay" and be polite and what-not, and then figure out how much time you have to think it over. I wouldn't try to negotiate in the initial conversation if you can help it. Give yourself time to think.
Then, in the next conversation see what is negotiable and how much power the chair has (if they are forthcoming about this). Sometimes, the chair is given a little wiggle room for salary (maybe 2-3k), but if you want to go up higher, they have to get administrative approval. This is why it is good to avoid throwing out the number right away if you can, because it is possible that they might be willing to go up more than you expected. I did this by saying something like "I think it is a great offer, but it was somewhat lower than I had expected. How negotiable is the salary?" Let them show their hand first if possible. Note - they may force you to show yours first, so be prepared.
Then when possible, use salary data if it is available to back up a number that you do throw out. Some institutions have public salary data by rank available, or the AAUP has good regional numbers by institution type. This is what I did, which led to a brief discussion about how close to the average I might be able to expect as a new hire.
Then I threw out a number a little bit below the average that I was satisfied with. It was a bit of a jump from their initial offer, but nothing outlandish. It required additional approvals, and I had to wait it out for a couple of days. It was scary, but the worst they would likely do is say "no" and I'd have been stuck with the original offer.
I expected them to maybe meet me halfway, but ultimately they gave me exactly what I asked for.
So my tip is to try to find out what you can before getting specific, and much of it depends on how you feel about the original offer. Always try to negotiate - it is an important number. As ecstatic as I was to get the offer and as anxious as I was waiting around longer than necessary, those 3 days of nerves were totally worth it in the long haul.