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I have a Bel RX65. I've had it for just over 5 years now, and it's served me very well.
When you're looking at a quality detector, you should, in my opinion, only be looking at Bel/Escort and Valentine. Bel and Escort are identical products with different brand names. Each brand has it's own benefits. Many people like Valentine's directional arrows and threat counter. Bel and Escort have more settings and GPS models. Look at the specs for each and you won't go wrong with any of those. I'd stay away from cheaper models and battery-powered models.
In the US, Ka, K, and X are the only bands in use. Something like 40 state police agencies use Ka. Ka is going to be the most common you'll run across, but K is still in wide use. Here, state and most local police use Ka, while most county use K. X is still in use, but very limited. Ohio, Indiana, and New Jersey are the only states that still have X systems, but they account for less than 15% of radar guns.
False alarms come primarily from the X band being triggered by things like automatic doors. Detectors like mine allow you to disable specific bands. I would recommend that you disable X unless you'll be driving through areas that you know use it. K also gives false alarms, but they are much less common. I've never seen a false Ka alarm. Ku is a European band that, as far as I know, is not used at all in the US. This is also another good band to disable.
LIDAR will continue to gain popularity but will never replace radar. Because of how it works, LIDAR is exceptionally good at pinpointing a specific vehicle, but must be used while stationary. Perfect for traps, but useless for patrol. Radar detectors work because an officer activating his radar will send waves in all directions that you can pick up before you are specifically targeted. With LIDAR, there is only a beam of infrared light that probably won't be picked up unless you are being targeted. Your detector telling you that a cop targeted you doesn't do you any good.
ETA:
When I was a senior in high school, I got two tickets a month apart. A few months later, I got my RX65. In the 5 years since, I have been pulled over 3 times for speeding, but have not gotten a single ticket. Having a detector isn't the death sentence some people make it out to be. Being polite to the officer will go a lot farther.
Make the cop's life easier and more often than not he'll make your life easier. For example, when you pull over, don't just get out of traffic, give him a lot of real estate on the shoulder to stand on. I pull until my left wheels are almost off the road so he has the entire shoulder between him and traffic. If you don't have a lot of room, pull off on an exit or turn off a busy street onto a side street. A cop is never happy having to hang his ass into 70mph traffic to talk to you. Also, have your papers either out or within easy reach when he gets to your window. I have my license, registration, and insurance in my hands, which are on the steering wheel, by the time I stop. Most cops appreciate you not digging through your glove compartment/center console/gun hiding spot.