Seangee has made valid points. I have had a group of dwarf chain loaches for I guess 8 years now, I have five which is the absolute minimum. They need a 36-inch (90 cm) length tank minimum. They need lots of chunks of wood for their individual home (they like to select their own space) and for play, which as seangee said is a delight to observe. They are not effective at snail control. They are very active, generally, so this can be problematical with sedate upper fish like angelfish. Cories would be better substrate fish, as while they are somewhat active, it is generally confined to the substrate level and it is not as rapid swimming activity as with loaches.
To some general comments. Acquiring fish to solve a problem is never wise. It is fine if you really want the fish as fish in their own right (meaning, not to deal with something), and can provide the basic requirements (all what I listed above) for that species. If they then help with something like algae or snails, fine; but acquiring a fish to deal with a problem is always risky, and frequently does not work anyway.
Second general comment...what is the "snail problem?" If you mean the small snails that often arrive on plants or wood, such as pond or bladder snails, or Malaysian Livebearing Snails, these are not a "problem" at all. They are extremely beneficial, as they can get places to eat all organics (such as fish excrement), breaking it down faster for the bacteria, and the result is a healthier biological system. "Too many" is open to interpretation as some believe a handful are "too many." But remember that these snails will only multiply to the numbers for which food is available. This does not always mean you may be overfeeding, but that is certainly one cause. But just normally with minimal feeding there is a considerable amount of organics (dead and dying matter) in any aquarium with even a few fish, so again this is normal and natural and unavoidable. Consider the snails as you best helpers in keeping the aquarium healthy.
Another issue...moving fish from tank to tank. This is generally not wise. It is the severest form of stress a fish undergoes, as the netting of a fish evokes the "escape a dangerous predator" response in the fish's metabolism. Sometimes it is necessary, but not all fish can "shrug it off" as well as others. And loaches are especially stressed by this. It can take weeks for a group of loaches to settle back to normal after having their environment changed. Not something to do without very good and necessary reason.