It depends on the legal structure of your small business.
If you're forming a company or some type of official corporation, the company will pay and file its own taxes. In that case you'd have to change the legal entity to the small business everywhere that you do business. It will need its own bank account and tax number, and Payoneer and all the stores would pay the money into the company's bank account. The company would need to draw up financial statements and submit a tax return once a year or so (depending on your country's laws).
You might pay less tax if the companies' tax rate in your country is less than your personal tax rate. But you'd also have to factor in the cost of forming and maintaining a legal company. For example, you may need to pay accountants to draw up your financial statements and submit your tax returns. Some countries have additional fees that you must pay for the company's registration and business license which can be once-off, annually or both.
However, if you're trading as a sole proprietor for tax purposes, nothing changes internationally. It's only your own internal tax processes that change.