I've been working in both startups and large multinationals and I'd say, you should go to startup first. It will give you sense of the freedom, that will stay for the rest of your life. It's important, because some independency is necessary to build successful career. Then go to a big corp to get REAL experience. There you'll improve your soft skills, build good network, learn about processes and tools, that you might never heard of in startups, and that will help you in future to scale your code and your future teams. Try both approaches, never choose single path, and eventually you will know what you want to do.