I this case I always use NUDGE function and I move clips all the time. Let say your project meter is 4/4 and clock is set to 48 then 192 ticks is equal to one measure. (Number of ticks is different for different meter and clock settings).
1. Copy clip to an empty track
2. Set NUDGE 1(press 5, or go to Preferences) to "measure" or 192 ticks, or 96 for half measure, or 768 tick for four measures, etc, depending where you want to put your clip
3. Highlight clip, move it (Nudge) with left with "1" and or right with "3" keys
4. Put the clip back to original track with Nudge up or down (keys "2" and "8), or SHIFT mouse.
Obviously you can do it all in original track, without copying to an empty track, but just find it safer that way.