and let all God’s angels worship Him.]
הַרְנִ֤ינוּ (har·nî·nū)
Verb - Hifil - Imperative - masculine plural
Strong's Hebrew 7442: 1) to overcome 1a) (Hithpolel) to be overcome 2) to cry out, shout for joy, give a ringing cry 2a) (Qal) 2a1) to give a ringing cry (in joy, exaltation, distress) 2a2) to cry aloud (in summons, exhortation of wisdom) 2b) (Piel) to give a ringing cry (in joy, exultation, praise 2c) (Pual) ringing cry, singing out (passive) 2d) (Hiphil) to cause to ring or sing out (for joy) 2e) (Hithpolel) rejoicing (participle)

[Rejoice,] O Gentiles,
גוֹיִם֙ (ḡō·w·yim)
Noun - masculine plural
Strong's Hebrew 1471: n m 1) nation, people 1a) nation, people 1a1) usually of non-Hebrew people 1a2) of descendants of Abraham 1a3) of Israel 1b) of swarm of locusts, other animals (fig.) n pr m 1c) Goyim? = 'nations'

[with] His people;
עַמּ֔וֹ (‘am·mōw)
Noun - masculine singular construct | third person masculine singular
Strong's Hebrew 5971: 1) nation, people 1a) people, nation 1b) persons, members of one's people, compatriots, country-men 2) kinsman, kindred

for
כִּ֥י (kî)
Conjunction
Strong's Hebrew 3588: 1) that, for, because, when, as though, as, because that, but, then, certainly, except, surely, since 1a) that 1a1) yea, indeed 1b) when (of time) 1b1) when, if, though (with a concessive force) 1c) because, since (causal connection) 1d) but (after negative) 1e) that if, for if, indeed if, for though, but if 1f) but rather, but 1g) except that 1h) only, nevertheless 1i) surely 1j) that is 1k) but if 1l) for though 1m) forasmuch as, for therefore

He will avenge
יִקּ֑וֹם (yiq·qō·wm)
Verb - Qal - Imperfect - third person masculine singular
Strong's Hebrew 5358: 1) to avenge, take vengeance, revenge, avenge oneself, be avenged, be punished 1a) (Qal) 1a1) to avenge, take vengeance 1a2) to entertain revengeful feelings 1b) (Niphal) 1b1) to avenge oneself 1b2) to suffer vengeance 1c) (Piel) to avenge 1d) (Hophal) to be avenged, vengeance be taken (for blood) 1e) (Hithpael) to avenge oneself

the blood
דַם־ (ḏam-)
Noun - masculine singular construct
Strong's Hebrew 1818: 1) blood 1a) of wine (fig.)

of His children.
עֲבָדָ֖יו (‘ă·ḇā·ḏāw)
Noun - masculine plural construct | third person masculine singular
Strong's Hebrew 5650: 1) slave, servant 1a) slave, servant, man-servant 1b) subjects 1c) servants, worshippers (of God) 1d) servant (in special sense as prophets, Levites etc) 1e) servant (of Israel) 1f) servant (as form of address between equals)

He will take
יָשִׁ֣יב (yā·šîḇ)
Verb - Hifil - Imperfect - third person masculine singular
Strong's Hebrew 7725: 1) to return, turn back 1a) (Qal) 1a1) to turn back, return 1a1a) to turn back 1a1b) to return, come or go back 1a1c) to return unto, go back, come back 1a1d) of dying 1a1e) of human relations (fig) 1a1f) of spiritual relations (fig) 1a1f1) to turn back (from God), apostatise 1a1f2) to turn away (of God) 1a1f3) to turn back (to God), repent 1a1f4) turn back (from evil) 1a1g) of inanimate things 1a1h) in repetition 1b) (Polel) 1b1) to bring back 1b2) to restore, refresh, repair (fig) 1b3) to lead away (enticingly) 1b4) to show turning, apostatise 1c) (Pual) restored (participle) 1d) (Hiphil) to cause to return, bring back 1d1) to bring back, allow to return, put back, draw back, give back, restore, relinquish, give in payment 1d2) to bring back, refresh, restore 1d3) to bring back, report to, answer 1d4) to bring back, make requital, pay (as recompense) 1d5) to turn back or backward, repel, defeat, repulse, hinder, reject, refuse 1d6) to turn away (face), turn toward 1d7) to turn against 1d8) to bring back to mind 1d9) to show a turning away 1d10) to reverse, revoke 1e) (Hophal) to be returned, be restored, be brought back 1f) (Pulal) brought back

vengeance
וְנָקָם֙ (wə·nā·qām)
Conjunctive waw | Noun - masculine singular
Strong's Hebrew 5359: 1) vengeance 1a) vengeance (by God, by Samson, by enemies of Judah)

on His adversaries

[and repay those who hate Him];
לְצָרָ֔יו (lə·ṣā·rāw)
Preposition-l | Noun - masculine plural construct | third person masculine singular
Strong's Hebrew 6862: 1) narrow, tight 2) straits, distress 3) adversary, foe, enemy, oppressor 4) hard pebble, flint

He will cleanse
וְכִפֶּ֥ר (wə·ḵip·per)
Conjunctive waw | Verb - Piel - Conjunctive perfect - third person masculine singular
Strong's Hebrew 3722: 1) to cover, purge, make an atonement, make reconciliation, cover over with pitch 1a) (Qal) to coat or cover with pitch 1b) (Piel) 1b1) to cover over, pacify, propitiate 1b2) to cover over, atone for sin, make atonement for 1b3) to cover over, atone for sin and persons by legal rites 1c) (Pual) 1c1) to be covered over 1c2) to make atonement for 1d) (Hithpael) to be covered

His land
אַדְמָת֖וֹ (’aḏ·mā·ṯōw)
Noun - feminine singular construct | third person masculine singular
Strong's Hebrew 127: 1) ground, land 1a) ground (as general, tilled, yielding sustenance) 1b) piece of ground, a specific plot of land 1c) earth substance (for building or constructing) 1d) ground as earth's visible surface 1e) land, territory, country 1f) whole inhabited earth 1g) city in Naphtali

[and] His people.”
עַמּֽוֹ׃ (‘am·mōw)
Noun - masculine singular construct | third person masculine singular
Strong's Hebrew 5971: 1) nation, people 1a) people, nation 1b) persons, members of one's people, compatriots, country-men 2) kinsman, kindred