Three consonants carry one idea: crossing a border to settle elsewhere. The same root names the act (migration), the verb (to migrate), and the person doing it (the migrant). Modern Hebrew built this family on a single binyan, pi'el, and let context decide whether you are leaving or arriving. If you are making aliyah, this is your root: every word here describes exactly what you are doing. Every word is verified against pealim, niqqud included.
The same root runs through the verb system. Each binyan is a voice: it bends the one idea into active, passive, causative or reciprocal. Tap to hear.
Hebrew keeps this root in pi'el alone; there is no pa'al "to migrate". The single verb covers both leaving and arriving, so the direction lives in the sentence, not in the binyan. Note that the same three letters also spell הָגָר, Hagar, the woman of Genesis who was sent away into the desert: an old echo of departure inside the root.
Same root letters, different noun moulds (mishkalim). The mould tells you the function: who does it, the act of doing it, or the thing produced.
Strip the prefixes, suffixes and vowels. Three consonants remain, and the meaning lives there.