How do you know you'll love the product management position? It may be fun for a few months, but if it's not something you're passionate about you'll get bored. You'll fall in this groove of making really easy money and just be comfortable. There's nothing wrong with that if that's what you want!
When I was 22 all I wanted to do was find a high paying job. America kind of brainwashes you to think that's the logical next step after college. Spend some time thinking about what makes you happy and what you REALLY want to do with your life. Then just go after it. No need to wait and prepare yourself. Life is short man.