Traditional cider houses bottle carb sweet cider using a number of methods. IMHO keeving is more work than most and too unpredictable.
You can accomplish the same thing by getting juice from a good orchard that doesnt use nitrogen fertilizers on their apples. Thats not hard if you live in or near apple country.
Wheat yeasts use a lot of nitrogen and can help the process. Cold ferments and long ferment times also help. I've got bottles from 3 batches I made this Oct from no-nitrogen Stayman, York and Empires and Wyeast 3333 that all got a nice bottle carb after 6 months.
I've got a keg batch of 3333 that I just crashed tonight and I'll probably pull a dozen grolsch bottles before I keg it to see what kind of bottle carb I get over the next few months and whether it gets to the point where it could burst a bottle. The test batches of 3333 all got brilliantly clear on the crash and my guess is that any yeast that is left for the bottle carb will run out of nutrient way before the sugar is gone.
If you dont live in apple country start checking ebay and craigslist for a kegging setup
Regardless, its going to taste better if you cold crash it. The difference is that then the sugar you have in the mix is the natural apple sugar, and it tastes a lot more like apples. During fermentation the short chain sugars get digested first, then the longer chain ones. Its the longer chain ones that contain a lot of the apple taste. If you ferment all the apple sugars out, you can add back sweetness, but not the apple taste. When using fresh juice, its a big difference. Back sweetening can turn a batch that went too long into something drinkable, but it wont get the great taste back. I'm not sure if the difference will be as noticeable with store bought juice, because they usually dont use very good apples to start with. Cold crashing does take some time and patience but it is worth it IMHO.