Engineering offer at a company recently acquired by a PE

I got an offer early this week for an engineering position at an engineering company that recently got acquired by Private Equity firm. Their goal is to implement a whole new R&D team, which would be me and two more engineers, although very exciting and I believe that it would help me in my career, I am scared since a lot of people seems to not like the idea of working for a company owned by PE and the lack of stability, but given the situation where I would be the first in a new department makes it better ? Has anyone had similar situation happened to them ? I am also interviewing for other more well established companies where the pay is not as attractive. I have 3YOE in the field as an R&D engineer.