Lighting is a fairly specialist field and some people make a good living out of designing lighting plans.
I can only give you my 5p worth, based on my likes and dislikes.
LED is a fairly new product (it has been around for years but it is getting used more and more) and it still has some way to go to beat halogen lighting, unless you have a large cheque book. It is also a cool white (very white light), you do get warm white LEDs now but I have not seen any to compare to the standard ones you normally get. It uses very little electricity, runs fairly cool and is supposed to last 1000s of hours (I have had them fail after 10 minutes but I think it was a bad batch). They are the most expensive to buy but the cheapest to run. They are normally a very tight beam (spot), so you may find they are very bright directly under the light but not bright enough anywhere else. Again they are bringing out new lamps that have more of a flood but I have not seen any yet. As you can tell there are new products/versions coming out all the time as manufacturers race to fill the gaps in the market.
Halogens are bright, run very hot and use the most electricity out of the 3 types of lights you mentioned. They have been around for years and there are different wattages, beam angles, colour tones etc. The cheapest to buy but the most expensive to run.
Fluorescent is available in different shapes and sizes. They are probably the best for task lighting because they give wide flood of light as opposed to spot beam of the other 2 types. They don't use much electricity, don't give off much heat and the tubes can last ages (more than halogen, less than LED).
If I had to choose I would go for compact fluorescent under cabinet lights, something like
http://www.aurora.eu.com/ProductPages/LampProductDetails.aspx?g=3285&c=65&b=71&o...There are other makes and style, look at the Aurora website.