Lyon 5 Day Trip

Hi there, apologies for writing in English!

I am going to visit Lyon for a 5-day trip and I have no idea what to visit and what not. I am going to stay in the city center (I guess not the old part), I would love it if anybody could recommend first any restaurants (local or not). Ideally, I would love some pasta/pizzas but any recommendations would be welcomed since I read that Lyon is famous for red meat as well. Anything would work around 10-30 euros per person.
Also, I would love to visit any museums so please recommend anything that comes to your mind, also I love any place that gives you a panoramic view and has a mix of parks where you can relax. Additionally, I looked and did some research and got some ideas that Pérouges is a great place near Lyon to visit, any ideas on this?

Thank you for your recommendations and ideas!