Why did Eliezer change the order? Above (verse 22), it says that he placed the ornaments on her before asking her about her family!
Rashi: To avoid them pulling him up and asking him how he could place the ornaments before knowing who she was. 1
Rashbam and Ramban: Refer to 24:22:2:2 and the note there.
Ohr ha'Chayim: Had he admitted that he gave before asking, Besu'el could claim that this was reward for serving him, 2 and the ornaments belong to him (a father receives his daughter's earnings). Rather, he said that after she answered, he gave them for bridal ornaments.