Sorry if this is an ignorant question, but I've been having some trouble grasping some concepts related to time dilation. So far, my understanding of the concept says that if I am in a certain frame of reference, and another frame of reference is moving at let's say 0.99c, there is a very evident effect of time dilation where time passes much slower in frame 2 compared to frame 1. And we have observed relativistic effects in satellites etc. because of their higher speed of motion with respect to Earth.
If I move away from the gravitational effects of Earth, and am able to observe Earth spin away from me, the same theory would hold for a clock sitting on Earth versus the clock in my hand. But if I move away from every possible cause of motion (galaxies moving from expansion etc.), and am absolutely still in space: what would happen to the clock in my hand? The whole thought behind relativity is the idea of nothing being absolute, so that being the case, to what extent can I 'decelerate' time in my frame?