I'm highly considering attending smaller, lesser known private university to pursue a PhD in cognitive psychology. The university gives full funding, I really mesh the with the professor I'd be working with, and the area is beautiful. The advisor I'd be working with came highly recommended to me by a professor I work with at my current university.
Compared to a lot of the other universities I've visited, the program is much smaller - with about 20 graduate students in total in the whole psychology department. This greatly appeals to me, as I just came from a tier 1 research university with over 60,000 students, and I've been really wanting a more close knit atmosphere.
Ultimately, I think I want to pursue academia, although I'm open to the possibility of industry. My concern is that while the university itself is touted as a "hidden ivy", it's not well renown for its psychology department. The university is not a tier 1 research facility, and the department isn't highly ranked. I'm worried I'm shooting myself in the foot in terms of job prospects later on. How important is the prestige of the program in the grand scheme of things?