Take your electrician's advice and go with LEDs, although in many cases you would be able to just replace a globe yourself. These days, the lighting choice is mainly between compact fluoros and LEDs, with incandescents and halogens on the outer, but LEDs have significant advantages over compact fluoros, including better efficiency, full brightness at switch on, much longer lifetime (which is not affected by frequent switching on/off), and being more environmentally friendly when they eventually die and have to be disposed of. They are a little more expensive, but will more than pay for themselves in the long term, in terms of both power consumption and frequency of replacement.
If you have any halogen downlights, these can also be replaced with LEDs (which will use about 20% of the power for the same amount of light), and if they are the 12 volt kind, ask your electrician about replacing with 240 volt ones.
If you have any lights which take unusual fittings such as small bayonet or small screw, LED versions of these globes are sometimes not so easy to find in the hardware stores, but they do exist. Again, ask your electrician.