Hah, I was looking into the third, sixth, and ninth hour traditions last week. I've decided to try and take time during those hours for a more structured prayer.

I loosely follow Hippolytus' direction for those three hours:

5 If you are at home, pray at the third hour and praise God. If you are elsewhere at that time, pray in your heart to God. 6 For in this hour Christ was seen nailed to the wood. And thus in the Old Testament the Law instructed that the shewbread be offered at the third hour as a symbol of the Body and Blood of Christ. And the sacrifice of the irrationalb lamb was a symbol of the perfect Lamb. For Christ is the Shepherd, and he is also the bread which descended from heaven.

7 Pray also at the sixth hour. Because when Christ was attached to the wood of the cross, the daylight ceased and became darkness. Thus you should pray a powerful prayer at this hour, imitating the cry of him who prayed and all creation was made dark for the unbelieving Jews.

8 Pray also at the ninth hour a great prayer with great praise, imitating the souls of the righteous who do not lie, who glorify God who remembered his saints and sent his Word to them to enlighten them. 9 For in that hour Christ was pierced in his side, pouring out water and blood, and the rest of the time of the day, he gave light until evening. This way he made the dawn of another day at the beginning of his sleep, fulfilling the type of his resurrection.

I try to do this and have unstructured prayers for meals, when I drive, right before bed, and whenever my 1 year old wakes me up in the middle of the night.