I will not give sleep to mine eyes … - There is no difference here between the words sleep and slumber. The meaning is, that the house of the Lord should be his first care.
SDA Bible Commentary (limited)
Volume 1-7
4. Not give sleep. An Oriental figure (see Prov. 6:4). The psalmist could not enjoy rest till he had prepared a resting place for the ark of God. He was so in earnest about God’s work that everything else took second place.