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Hi! I just received mine. Here's the timeline of how long it took to get the actual mail packet: 2/26: unofficial acceptance (PI email), 3/5: email to check portal. status saying official letter being mailed, 3/12: packet arrived by USPS.
It may be different by department though; I'm not sure. I hope this helps!

Hi - I'm from Upstate New York, not Rochester specifically. 
If you have the option of a larger/mid-size city, take it. You will be surrounded by small towns and small minds the second you walk off campus. 

Yes!
I wouldn't worry about this awkwardness. I think Prof A is just really hopeful that you will get the NSF-GRFP and is letting you know that basically you're in his group for sure if you get that. Shortly afterwards, he must have realised that sounded like he would only take you if you got the GRFP so he corrected himself. However, the important takeaway message is that he has no funding for you right now. That may change with successful grants and such, but this means you'll probably be funded via departmental sources such as TAships. I'd certainly factor this into the decision.
It's unfortunate that he doesn't know all the details of your application. Some people are just very absent-minded or maybe he had a lot on his mind that day, or he is just awkward about these things. In addition, there's no reason to expect the prof to remember the details of your application package---you probably spent a ton of time on it but they read it over very quickly and probably has not looked at it again since then. There are two scenarios to consider here:
1. Prof A may just be this absent-minded all the time to everyone and is very bad at small talk, it's not personal. So you just have to decide if this working relationship is a good fit for you. Remember that your advisor doesn't need to be your friend but you do need to feel like they support you. I know lots of people with super awkward advisors and they never ever talk about anything other than work/research because it just gets so painful. This could be fine since these people find mentorship from other people for things like career advice etc. It's probably better to have a nice and supportive advisor with cringe-worthy small talk conversations than a smooth talker that is very charismatic but doesn't actually care about your success at all. I also know a lot of people with advisors that are charismatic but unsupportive and they wished they made a different choice in the past.
However, if you feel the dynamic does not work for you and would get in the way of getting what you need from your advisor, then that's a good reason to consider someone else!
2. Prof A may not be that interested in you after all and these are signs that he won't really care about you as a student.
Based on the other information here, it sounds more like (1) than (2). Prof A spent a lot of time with you earlier to help with the application process etc. But you know your interactions best, and even if it's (1), as I said above, you might prefer a different dynamic.
It's great that you have a Prof B to also consider. I think what I said above about the balance between interactions with your advisor vs. how much you think your advisor will support you. I think having someone show interest in you attending is nice, but it's not the be all and end all. Sometimes people are very different when they want you to make a decision in their favour than when you actually make the decision. Prof B sounds great, so I'd look into what it might be like to work for Prof B. If you can visit and talk to the profs, scope out the feel of the lab/group and talk to students, that would be really helpful. 
In any case, it does sound like you have two profs (both A and B ) that have shown interest in you and spent time trying to convince you to come. It's a matter now of deciding which prof's style fits you better. Just keep in mind that many people believe in a mentoring network approach to training, and you are able to find mentorship/advising from other people on campus besides your advisor, if it turns out your advisor is lacking in some areas of mentorship you might like. Even if your advisor is wonderful, it's still a good idea to develop several mentors over the course of your graduate degree and hear different perspectives.

At my college, people managed to make enough noise and there were enough faculty members sitting on various committees who cared that, as of this year, they are rolling out a preferred first names field and (allegedly) even an audio pronunciation guide field on the student portal. Judging from the graduate school application forms that I've filled out recently, it seems like a fair number of institutions are implementing features that allow people to have preferred first names on file and accessible to instructors who care enough. One of the POIs that contacted me for an informal interview even managed to use my preferred first name when addressing me via email! So, I'm hopeful that sorting out name issues might get easier to deal with in the future.
Also, as someone with a rather hard to parse name (I've seen 4/5 of the possible incorrect permutations of the three "words" in my full name), I definitely prefer it when instructors go with the first name I ask them to use. I've gone by my nickname since third grade, so I only ever use my full name on legal documents. It gets awkward when well-intentioned folks try to call me by my full name in person, because I don't even respond to it anymore.
Finally, out of the various methods I've experienced, the method of passing out a sheet with given name, first name, etc. has worked best so far.