i'm gonna try my hand at explaining things...in a simpler cleaner style but factually too
DLP
PLASMA
LCD
I prefer LCD, that said...
DLPs seem cheapest of the bunch, followed by Plasma, and then LCD is most expensive. Some people reference Plasma as being more than LCD? I am not sure on that.
DLP: tend to be cheaper becuase they are projection based.
Pros: Supposed deeper blacks than LCDs (supposed only based on new gen dlp vs old gen lcd)
cons: Rainbow effect and large size. I for one still do not prefer even the highest quality dlp...it still looks like a bicycle reflector IMO.
PLASMA: Started as most expensive, than started becoming just as cheap as dlps. Once consumers started realizing the drawbacks to both dlp and plasma their prices dropped below lcd.
Pros: Best picture quality in terms of dynamic range, rich colors and extreme contrast ratios.
Cons: Based on new gen (burn in is not an issue), plasmas tech has an inherit death to it...gas levels diminish and with it, visual quality...but people don't realize the gas can be reinjected to renew the life. However I think it uses a huge amount of energy vs the other 2 techs.
LCD: Started as best overall and still is. Space saving is key.
Pros: Thin and light, relative to size (the bigger you go, it just gets heavier...glass). Based on new gen, equals or surpasses all other techs in terms of black levels.
Cons: At the high end, the pricing can sore...
I think that was objective enough right? With LCD, you can go higher quality and larger size and all worry about is cost. You don't have to worry about increased energy use, costlier repairs (dlp motorized mirror arrays tend to need lots of maintenance), and you can achieve a true 1080p model (not saying others don't or have not).
Still, if you don't mind the more temporary nature of plasma, it does give you a more filmic look to images...something a lot of people like.