How to open up merchant account and shipping account online so i can sell my products via the internet?

May I suggest you visit
This may be the answer to your business needs. They provide the store website, merchant account and shipping. Read and take the tutorial to be completely informed.

You can try my merchant account provider, emerchantpay. I applied online and got a merchant account in less than a week. They have a procedures page so you’d be guided accordingly.

If you’re an e-commerce merchant, you’d definitely want to check out since they have everything you need to start accepting credit cards (and free setup). The site will guide you on how to get started, including the steps involved, and you can call them as well. Hope this helps