Taxes and inflation hurt all, most taxes hurt the middle class a bit more than the rest. ...It can only come from taxes or printing - both things hurt the people, some more than others, but inflation hurts everyone.
This is not only a gross oversimplification, it is also mostly untrue.
1. In and of themselves taxes do not *hurt* anyone. Taxes are necessary for allocating resources for the economy to be as productive as possible for everyone. Obviously, the less democratic a society, the more these funds will be diverted through corruption (eg, JP Morgan, Citibank, Monsanto...) and misallocated. But not taxing would be the opposite extreme: an economy with terrible wealth discrepancies leaving the economy's potential untapped. There are plenty of great examples of low tax paradises: Bangladesh, Haiti, Bahrain, Zambia...
2. Inflation does not "hurt everyone". It is a macroeconomic indicator that needs to be seen in view of other indicators. Thus for example, Europe, the US and Japan are facing a huge problem with deflation: as prices decrease businesses hire less and real wages go down. The net result is workers have less disposable income and growth is sapped. The "solution" proposed by their governments has been QE: huge increases in the money supply ("printing" in laymans terms).
3. This printing has not led to the desperately needed inflation in either of the three regions.
4. Ideally taxes should be progressive. VAT, as you indirectly point out, is a regressive tax, affecting the poor more than anyone (in your example, the same poor person has to paint her house too, and it represents a greater percentage of her gross income than the middle or upper classes.
5. Lastly in regard to "government handouts", in your analysis do not forget their effect on aggregate demand. In a country like Argentina, using taxes to redistribute money from the wealthiest to the poorest is just about always a net gain, since (given the govt's incompetent capital control policies), the wealthy are far more likely to ship their riches out of the country (thus dispensing with the myth of being "job-creators"), whereas the poor tend to spend their income increases locally, creating jobs and helping the economy as a whole.