Let's learn about "바꿔 드리겠습니다"

 (제가 전화를) 바꿔 드리겠습니다 : I’ll get him for you; He’ll be right with you; I’ll get him through

[other expressions]

<반말(talking down to)>

- 바꿔 줄게. (to younger people or friends)

<존칭/존댓말/높임말/경어(honorific)>

- 바꿔 줄게요. (honourific by '-요')

<극존칭(high honorific; extreme honorific)>

- 바꿔 주겠습니다. (formal; more homourific by '-스')

- 바꿔 드리겠습니다. (formal; more homourific by '-스')

[explanations]

* 내 / 나 : I (non-honourific word)

* 제 / 저: I (honourific word)

* -가 : a particle makes 내 / 나 / 제 / 저 the topic of the sentence after a word ends in a vowel

* 전화 : [電話] a telephone; a phone; a phone call;  a ring; a cell phone; a mobile phone

* -를 : a particle makes 전화 objective after a word ends in a vowel

* 바꾸다 : (1) change (2) [=전화를 연결시켜 주다] put someone on the line

* 바꿔 : 바꾸(the stem of 바꾸다; 꾸 + -어 contracted into 꿔) + -어(a connection suffix between two verbs)

* 주다 : (1) give (2) have an effort to in the sentence

* 준다 : present form of 주다 by '-ㄴ'

* 드리다 : an honourific form of 주다

* 줄게요 : 주(the stem of 주다; 주 + -ㄹ contracted into 줄) + -ㄹ(a suffix makes a verb future tense) + -게(one’s will) + -요(an honourific ending suffix)

* 주겠습니다 : 주(the stem of 주다) + -겠(one’s will) + -스(a suffix makes a verb more honourific; 스 + -ㅂ contracted into 습) + -ㅂ니다(an honourific declarative verb ending suffix)

* 드릴게요 : 드리(the stem of 드리다; 리 + -ㄹ contracted into 릴) + -ㄹ(a suffix makes a verb future tense) + -게(one’s will) + -요(an honourific ending suffix)

* 드리겠습니다 : 드리(the stem of 드리다) + -겠(one’s will) + -스(a suffix makes a verb more honourific; 스 + -ㅂ contracted into 습) + -ㅂ니다(an honourific declarative verb ending suffix)

* a verb + -게 : a non-honourific declarative verb ending suffix has an honourific

* a verb + -게 + -요 : an honourific ending suffix

* a verb + -습니다 / -ㅂ니다 : a declarative verb ending suffix has an honourific by ‘-스’ / ‘-ㅂ’