The oldest type of hair extension method is unsurprisingly hand-tying, per Oh So Glam. This involves a weft that is sewn or weaved together by hand, and is attached to the scalp by a row of beads (via Philocaly Hair Extensions). As the weft lays very close to the scalp, it can offer a "comfortable and natural feeling" as opposed to tape-in extensions, according to Layla Hair.
Installation takes a little longer because of this, and can take between two to two and a half hours according to Philocaly Hair Extensions, but the extensions last substantially longer than tape-in extensions as the weft won't start to "twist" when they grow out, and they're easier to conceal prior to a reapplication appointment.
While hand-tied hair extensions are easier to hide and can look the most natural, they are the more expensive option and can cost between $250 to $500+, and require more maintenance than tape-in extensions. As Philocaly Hair Extensions explains, this type of extension should never be air-dried and they should be brushed once a day at the root to avoid the hair becoming course.