I searched around for some specific references for you from the Psalms:
Psalm 33:1-3
1 Rejoice in the LORD, O you righteous!
Praise befits the upright.
2 Praise the LORD with the lyre,
make melody to him with the harp of ten strings!
3 Sing to him a new song,
play skilfully on the strings,
with loud shouts.
Psalm 43:4
4 Then I will go to the altar of God,
to God my exceeding joy;
and I will praise thee with the lyre, O God, my God.
Psalm 57:8
8 Awake, my soul! Awake,
O harp and lyre!
I will awake the dawn!
Psalm 71:22
22 I will also praise thee with the harp for thy faithfulness,
O my God; I will sing praises to thee with the lyre,
O Holy One of Israel.
Psalm 81:1-3
1 Sing aloud to God our strength;
shout for joy to the God of Jacob!
2 Raise a song, sound the timbrel,
the sweet lyre with the harp.
3 Blow the trumpet at the new moon,
at the full moon, on our feast day.
Psalm 92:1-3
1 It is good to give thanks to the LORD,
to sing praises to thy name, O Most High;
2 to declare thy steadfast love in the morning,
and thy faithfulness by night,
3 to the music of the lute and the harp,
to the melody of the lyre.
Psalm 98:4-6
4 Make a joyful noise to the LORD,
all the earth; break forth into joyous song and sing praises!
5 Sing praises to the LORD with the lyre,
with the lyre and the sound of melody!
6 With trumpets and the sound of the horn
make a joyful noise before the King, the LORD!
Psalm 108:1-3
1 My heart is steadfast, O God,
my heart is steadfast!
I will sing and make melody! Awake, my soul!
2 Awake, O harp and lyre!
I will awake the dawn!
3 I will give thanks to thee, O LORD,
among the peoples,
I will sing praises to thee among the nations.
Psalm 147:7
7 Sing to the LORD with thanksgiving;
make melody to our God upon the lyre!
Psalm 149:3
3 Let them praise his name with dancing,
making melody to him with timbrel and lyre!
Psalm 150
1 Praise the LORD! Praise God in his sanctuary;
praise him in his mighty firmament!
2 Praise him for his mighty deeds;
praise him according to his exceeding greatness!
3 Praise him with trumpet sound;
praise him with lute and harp!
4 Praise him with timbrel and dance;
praise him with strings and pipe!
5 Praise him with sounding cymbals;
praise him with loud clashing cymbals!
6 Let everything that breathes praise the LORD!
Praise the LORD!
Now if that’s not enough to convince someone that musical instruments should be used in worship (or at the very least that they not be forbidden), I don’t know what is!