There's no way you will find a market where you have no competition. If you want to find a market without competitors come up with an unique product that solves an unique problem.
Do a research on the markets you're interested and then you will see where you can fit more. Also building a trusted brand is more important today than being able to get a product for cheaper and selling it for more expensive. Years ago I used to trust a webshop in my country but then they delayed my order 3 months and wouldn't give me a refund. I didn't use them anymore, and as it turned out they were more expensive.
Focus on brand building that is unique. And it doesn't mean that you put a logo everywhere. It's everything how you do business and how you act to your customers.
From the quality of your products to the moment it arrives to their door, and every time they use your products they will be thinking about it. And if they are happy after the purchase they are likely to come back. Look at all the iphone users buying all the accessories for their phone for example.