From within the group of faucets that fit your sink you will have to make a decision on the valves that control your water supply.
Older faucets came with a brass valve that used thick rubber washer to control and seal the water flow.
New faucets will most often come with some type of cartridge system.
There are 3 different types of cartridge systems.
The Single Cartridge – This faucet is a single knob design the farther you pull the knob up the more water comes out of the faucet. To make the water hot or cold you rotate the knob. This is a very basic and easy to install faucet. There are repair kits to rebuild the faucet or the price is often low enough that you can replace the whole faucet for under $50. The only drawback of this design is if there is a problem with the faucet you will need to turn off all water to the sink. This means you can not live with only hot or only cold water for a day or two until you have time to fix the faucet.
Ball Type Valves – are the second choice for a faucet. They are similar to a kitchen sink. There is a single control lever and you rock the handle up and towards the back of the sink to get more water to come out and to control the heat level you rotate the handle left or right. This design may require repairs more often then a cartridge system since it relies on O-Rings and springs to control the water volume and mixture. Again there are repair kits to rebuild the faucet but if there is a problem you will have to disable both the hot and cold feeds to the sink.
Independent Valve Replacement Cartridge Systems are the Third Choice. In this design there are 2 knobs to control the hot and cold water independently. This means getting the right heat setting can be difficult since you will need to adjust both knobs to get the proper water flow and heat setting to match. The good thing is there are no washers of the past. A small cartridge design regulates the flow of water many designs are different but the ones that have ceramic parts are suppose to last for an extremely long time and replacement of cartridges is very easy. Unlike the other two designs we covered this model of faucet can have the feed for the cold or hot water turned off independently at the shutoff valve that comes out of your wall. This ability will allow you to live with only hot or cold water while you find time to call a plumber or order parts. Cartridge Systems like this are often used in wide spread counter tops or custom designs but they are also available in 4 and 8 inch spread faucets.
Well these three designs of faucet mechanisms should have narrowed your choice even more.