To begin with, I am only a 1L so no one that I have meet has transferred yet. But from my understanding, it is possible if you are in the top of the class to transfer out to another NY school. This is only a guess, but you would probably need to be in the 10% (maybe higher for nyu or columbia). But a side note, if you can get a scholarship from hofstra and get the same kind of job as you would at nyu or columbia, it might make more sense economically to stay and forgo going for the name recognition. (I have thought about transferring and depending how I do, i'm leaning closer to keeping the money)
As for the professors, I have learned a lot and find that most of my professors really care about how we do and are very approachable. Even the ones that aren't always around school can be easily emailed. By the way I am full-time, but i do not a lot of part-time day students. First semester the only difference is that they don't take criminal law and also one less class in the semester. Full-time evening i think take even less.
If you stay at hofstra, you probably need to be in the top 10% to increase your chances of biglaw but its probably still probable if you are in the top 20%. If you look at their website, for those that go into the private sector, the 75th percentile salary is 160,000 (and 79% are in the private sector, law firm or business). Here is the link if you want to check it out. http://law.hofstra.edu/StudentLife/CareerServices/careerservices_employment_statistics.html
The competition is not cut-throat. I studied in groups and got outlines from other students and myself personally was always willing to explain something. Also, you will notice that internet surfing and chatting is pretty rampant, however i would give everyone the advice to NOT let yourself be distracted. If you are paying lots of money to go to law school, don't waste it surfing the internet. Also, stay on track with your classes. If you are always caught up and don't fall behind you will understand better in class and won't feel the pressure of having to do so much work.
I will say that since I have not gotten my grades yet, there is still some opportunity for pessimism. However, I'm hoping that won't happen because the finals seemed fair and I think i did well enough.
Hope this helps