We're in the EU (EU passports) and planning on spending the next couple years traveling. Income is coming through a company I have set in a country I was never a resident of.
The only taxes I'm normally liable for is my personal income, at my place of residence.
During the travel period, we will not stay longer than 2-3 month in a specific country, therefore we don't establish tax residence in any of them.
In that situation, can I avoid paying income tax during that time?
No.
All tax treaties (which allow personal/investment income paid in one country to get shifted to another country) require you to claim (at least in your mind; paperwork might not be needed) an official country of residence for each piece of income. So, you will then need to file taxes for at least one claimed country. If you claim multiple countries, you probably can use foreign tax credits to prevent double-taxation, but your total taxes are probably minimized claiming just one country for all income.
