Vpadx,
Welcome to the wonderful 'civil' world of engineering. I have been in both the private sector and public sector of civil engineering and actually get more satisfaction in the public side. One benefit I have found in the public side is that you get to design a project, go through the bidding and contract award, actually get to see the project built, and then get to live with it good or bad. I think you learn a lot more about the construction side of engineering when you see how the design doesn't always fit the "real" world conditions. It makes me pay more attention to how things are actually constructed.
The private sector has its advantages too, such as much better pay, the prospect for working on more complex projects and many times a wider variety of projects. A few of the aspects of the private sector that drove me to the public sector as a mid-grade engineer were 1) too many bosses that wanted their project done "NOW" at the expense of the other bosses; 2) being responsible for a project that some salesman developed the scope and budget for and obviously didn't have a clue as to how much effort it would really take; and 3)having to work mandatory overtime, which we weren't compensated for yet the client was charged for it. Don't get me wrong, I didn't mind working overtime when the project required it, but to charge the client 1-1/2 times for the overtime when they aren't even paying the staff is just wrong.
Sorry, this is starting to sound like a rant.
Definitely get your PE regardless of where your career takes you. Obtaining your PE is the best way to tell your boss or future bosses that you are serious about your career.
Best of Luck in where ever life leads you.