each type has it's own advantage or disadvantages. the idea the screw are stronger is false. any type of opener is only meant to lift a well balanced and smoothly functioning door. screw drive typically use a steel screw driving a carriage lined with aluminum. too much strain and the aluminum will wear out. also worth noting, screw drives are the only type that actually needs to be oiled for the same reason as above. as the aluminum housing around the screw wears away they get very noisy is not oiled often. this gets messy dripping on the car and who really oils anything anyway. belts are quieter but more expensive. if you go with a belt drive, make sure it has a DC motor as the motor is usually the main noise maker. these are often the most expensive to fix also. chain drive (by far the most common) is solid and reliable. 18 yrs in the business, i've only seen 1 chain that actually broke. it rusted through. it was used in a makeshift carwash...duh. i'm not sure if you are looking for brand names and since i really don't want to trash anybody i won't mention anybody by name. that being said, if you plan on doing it yourself, beware of what you will find in home centers and shopping malls. these units are built for inexpensive production. competition has forced manufacturers to skimp on part quality in order to keep the price low. also the mail rail (typically 8-10') is broken into sections that have to be bolted or snapped together. this is for ease of shipping and can fit into a car. this is a weak design period. one other caution, you might come across one brand that sells a 3/4 hp motor while the rest are 1/2. don't get sucked in. that extra power will never be used. 3/4 hp is appropriate if the door weighs a thousand pounds or more. typical wooden or steel doors weigh less than 300. it's wasting money. now, what would i buy? a chain drive with a solid rail (you will need to know your doors height, usually 7 or 8"). warranties don't count for too much if you are installing it yourself as most initial problems are caused by the installation, or poorly working doors. if you want more info, let me know.
ps: almost forgot to say, if you want a solid rail, you will probably have to buy the opener from a door dealer. look in the yellow pages and make some calls. surely a few dollars more, but probably worth it. these companies will also have any parts you might need for your door and most importantly, the knowledge to keep you on the right track. :)
doors are what i do....forever and forever (sigh)