Of course, you'll only get the time when the wood was cut, and not when the house was finished construction.However, you could ask a construction worker or something related to construction to estimate how long your house would have taken to construct.
Sample amount is not a problem: some older beams are being cut down so I have about a kilogram of sample wood from a column.
The basic formulae that are required for radioisotopes and nuclear half-life: $N=$ , where $N$ represents the mass of radioisotope remaining, $N_0$ represents the mass of radioisotope at the beginning, and $n$ is the amount of half-lives that have passed.
Furthermore, $n=$ , where $\Delta t$ represents the time elapsed (or change in time), and $\lambda$ represents the half-life (in years).
For your situation, all that is known is the half-life of carbon-14.
To continue further, carbon daters find the ratio between carbon-14 and carbon-12 (which does not decay) to find $N$ and $N_0$.