Fix a gutter bracket to the facia, this gives you a position for the short eaves tile to end so that rainwater will run into the gutter nicely, then fix the first batten, fix the second batten so that the second full lenghth tile ends flush with the bottom of the short eaves tile. Then you need to fill the gap between the first two battens and the last one you left in place, its a matter of looking at how many tiles you need to keep the overlap similar to the existing. Also when fixing the first short eaves tile consider how many courses you will be putting back on and check the bond, that is you must have the join between two tile edges somewhere near the centre of the tile above to keep it all water proof.
It may sound more complicated than it really is, but when you get up on the roof it will become clear, all you need to do is cut some bits of 4 by 2 treated timber screw them to the side of the rafters, nail some batten down over a bit of breather membrane and whack a couple of hundred tiles up.
Verges are a little more complicated but I am off out on the bike now

Bobs your aunty
Desp