So when I copy and past a clip it will past to the exact time as when I copied it, so to say if the clip started at 3 minutes and 15 sec and I copy and paste it to a new composition it will put it at 3 minutes and 15 sec.
But if my composition I am copying it to is only 10 sec I normally have to go to the composition setting to extend the time of it then I find the clip, drag it down to the work area I want It to be and then retime the composition so when I move that composition inside another one I am not dealing with unnecessary time to trim.
Is there an easier way or a short-cut to move a clip to the starting of a composition?
I assume you mean copy a layer, not copy a clip.
If you copy a layer and paste it using the keyboard shortcut Alt/Option + Ctrl/Cmnd + v it will paste at the current time.
If you want to move a layer's in point to the CTI (current time indicator) you can use the [, the ] moves the out point to the CTI. Adding Alt/Option to the square bracket key sets a new in or out point for a layer.
If you have a "home" key Alt/Option + home will move a layer to the start of a composition. If you are on a laptop with a function key the function key usually changes the arrow keys to the home / end keys on a numeric keyboard. If it works then Function + Alt/Option + left arrow will also move a layer to the start of a composition. If you cannot get the that to work you can always move the CTI to the start of the comp and use the [ key.
These are all in the Keyboard shortcuts and in the help files and should be part of your usual workflow.