Is it possible to connect two areas without breaking tiles to fit Strip Lights?

Without seeing exactly what you want and getting a visual on the job its not always easy to help but heres some info for you anyway. Typically if you want LED strip under the wall units the electrician would make his/her connections on top of the wall units. The LED strip is then concealed by the pelmet and the connections on top are concealed by the cornice. If you want the LED lights under the base units then it may be possible for the electrician to make the necessary connections under the base units behind the plinth. Bear in mind that the LEDs will need to be fed via the appropriate LED driver (either constant voltage or constant current), this should come with any LED strip that you buy. I would ordinarily feed this LED driver on top of the wall units ( out of sight) via my switch live and neutral. The driver should have a metre or more of cable leading to the LED strip which needs to be run in appropriately. This often depends on the type of wall units but if your wall units and tiling is already in place then it could present a potential problem for the person doing the work. The controllers you get with those LED's are a bit naff sometimes (they work on RF typically). Thats why its better to incorporate the switching onto say a two gang light switch (one gang for your ceiling lights and one for your LED under pelmet). Good luck, Rob Sensor Electrical

One of the problems you will have is that of VOLTDROP, because of the small diameter cable if its a few meteres long, the voltage will drop and the LED's may not work properly. Best way would be to have three sets of LED lights each with its own LED driver unit.