So many of David's psalms are like that - he laments what life has brought him, he laments the chaos and grief his own sinfulness has caused. He cries out in sickness. And he cries out with joy at the great triumphs of life and the ordinary everyday pleasures that he encounters as gifts from God. The psalms engage our emotional life in a very direct way. Now you may or may not be a very demonstrative, emotionally-charged person.
Some people are more emotional than others.
The psalms are not teaching us that we have to make a great show of our emotions to be truly spiritual. But what they do teach is that it's a godly thing for us to bring all the things that affect our whole life, including our emotions, before the Lord in prayer. And we should do that every day. God is closer to us than a brother, the bible says. He should be our first port of call when we want to share what's on our mind, whether it's what's troubling us or what we're happy about.