I fitted this fan a few weeks ago in the ceiling of the en suite at my son's flat: http://www.ebay.co.uk/itm/Airflow-Aura-eco-100HT-100mm-Humidity-Bathroom-Extractor-Timer-Fan-9041349-/350614005792?hash=item51a2392820:m:mj_CCSkVaHHbNF8-RpYbcqQ The same fan is available elsewhere but this was, I think, the cheapest source (£24.95).
It is humidity controlled and has a timer overrun; both are adjustable. So, for addition to lighting circuit, it requires a switched live, perm live and neutral feed. It is very quiet (reason for choosing this model) and seems to have settled down quickly, but the low power and noise means that, even if it runs continuously in 'humid' conditions, it can be ignored. There is no internal shutter but that is not needed if (as I prefer) there is a 'flap' on the external grille. The fan requires a 4" hole, so if your existing one is 6" (as many old fans were), I suggest you patch in with a piece of plasterboard and skim before re-cutting a 4" hole. (I can explain a technique to make that easier if you wish.) You could fit an equivalent 6" fan but that would involve more expense and is really overkill unless bathroom is very large. What size is onward ducting?