Any sub can go into any type of box. However, it might not be its optimum setup. Damn near any sub will be ok in a sealed box. Its the most basic box.
Every sub box needs to be built around the sub it will hold. For a sealed box the airspace needs to be specificly within the range the subwoofers needs to perform poperly. A ported box has to have the proper air space, port length and port diameter. If these measurments are off, the perfomrance sucks. Ported boxes are typicly able to be slightly louder then sealed boxes but the box is larger and usualy won't play the lowest of freqencies as well as the sealed will. Bandpass is the biggest pain in the ass as there are 2 chambers of airspace and ports that all have to jive. Bandpass boxes are great for getting a small band of sound loud, but they suck for everything else as they won't reproduce it. They are VERY rarely used these days except for by the typicle best buy customer that has no real experiecne in car audio and basicly just wants one tone......LOUD. Their day has come and gone.
I suggest you take a look at
www.jlaudio.com they have an of articles about box types. It should help to claify some things.
The box is only a small part of the equation. Also important is the amplifier and of coarse, what sub that is being used. If you are going to be buying a prefab ported box then it should be build by the subwoofers manufacturer. Generic prefab ported boxes are designed to work with as many subs as possible and sacrifice possible performance to do so. If you want a prefab box not offered by the manufacturer then get a sealed box.
If you really like bass, then be honest with yourself about it and get 2 12"s. 2 10"s may satisfy you ears though. Keep in mind that if you cheap out andget a crap sub, your going to get crap perfomance. Spend the money on decent equiptment to make the purchase worth it. In other words, don't buy bazooka, sony, duel, ect. There garbage. If your shopping at best buy your options are Rockford and alpine, pretend everything else does not exist.
If you need to keep things cheap then go with two 12" Rockford fosgate series 1 subs in a sealed box and match them with an alpine MRP-M350 amplifier