How can I move a signal in frequency so that it ends at the frequency zero?
One way of moving a frequency response of signal is multiplying it with a sinusoid. Assume x(t) is your signal.Let the sinusoid be $$cos(w_0t)$$
If I multiply this to x(t) as $$y(t)=x(t)cos(w_0t)$$
Then Fourier transform of y(t) is $$Y(w)=0.5(X(w-w_0)+X(w+w_0))$$
This is because multiplying in time domain of two signals is equivalent to its convolution in frequency domain.Since fourier transform of the above sinusoid is$$C(w)=\frac{\delta(w-w_0)+\delta(w+w_0)}{2}$$Due to the sifting property of delta function we get the above Y(w) after multiplying.
Although here we get two signal the required one can be obtained by passing it through band pass filter