yeah,10 or more days is enough to see our city.
And if you plan to move here for a while, there are lost of good places downtown. And as I read in a newspaper yesterday Hungary is one of the cheapest country to buy/rent a flat/house... so good luck with it! you'll love this city.
And I hope you won't find yourself in the middle of another riot

We'll have our national celebration on March 15, and they say, that could be a mess again...
...ah...to see the whole country it takes more than 2 weeks as Mark said.