If you are animating a random movement with xpresso use the Noise-Node and not the Random-Node.
On the left the cube is moved by noise on the right by random.
As you can see the noise is a lot calmer and the random is too nervous.
The noise-node has some settings that make it very flexible such as Octaves, Scale, Frequency and Amplitude and there is a menu with different types of noise.
To make two or more elements move differently you can feed the position of these object to the noise-node as to create variations.