Talk to the admissions people at your school -- they really do want transfers to enjoy the experience.
Previous transfer students at my new school provided excellent feedback to the administration, and it really has paid off for current transfer students. The administration has been great and really have welcomed us to the school well.
That said, I also have not had a single negative experience in terms of the whole "transfer stigma." I had heard things about it, but I think it really was more of something that made me feel uncomfortable when first meeting people (as I couldn't talk about first year profs and didn't have the same shared experiences of other 2Ls). Anyway, the more people I got to know, the easier it was. People have been incredibly welcoming and not one person has treated me as if I don't belong at "their school."
Of course, people at my new school do rock. So, there is that.