Difference between Set About and Undertake

SET ABOUT vs UNDERTAKE: VERB

To take upon one's self; to engage in; to enter upon; to take in hand; to begin to perform; to set about; to attempt.
Specifically, to take upon one's self solemnly or expressly; to lay one's self under obligation, or to enter into stipulations, to perform or to execute; to covenant; to contract.
To assume, as a character.
To engage with; to attack.
To have knowledge of; to hear.
To take or have the charge of.
Hence, to guarantee; to promise; to affirm.

Specifically To manage funerals, and arrange all the details for burying the dead.
To take up or assume any business, responsibility, or venture.
Synonyms and Essay, Endeavor, etc. See attempt.
To take on one's self; often, to take formally or expressly on one's self; lay one's self under obligations or enter into stipulations to perform or execute; pledge one's self to.
To have the charge of.
To engage with; have to do with; attack.
To take in; hear; understand; have knowledge of. To assume, as a character.
To promise; be bound; warrant; answer for something; guarantee.
To engage in; enter upon; take in hand; begin to perform; set about; attempt; essay.
To warrant; answer for; guarantee; affirm: especially with a following clause.

Bring about, Set in motion, Bring forward, Embark on, Collide with, Start out, Go about, Set out, Undertake, Commence, Attempt, Approach, Get, Begin, Start

Participate, Conducting, Commence, Embarking, Conduct, Engage, Embark, Initiate, Take in charge, Set about, Take on, Contract, Attempt, Tackle, Guarantee

Fall upon, Get across, Bring about, Set in motion, Bring forward, Embark on, Collide with, Go about, Set out, Undertake, Commence, Approach, Get, Begin, Start

Implement, Take, Undergo, Incur, Initiated, Participate, Conducting, Commence, Conduct, Embark, Initiate, Set about, Take on, Contract, Guarantee

So he set about offering the service himself.
Formative and summative feedback tools provide opportunities for students to think critically about their work and set about to make improvements.
But Mike, who heard about the idea, set about writing the virtual panto script and came up with a story instead.
And after I asked him what he was talking about, I set about working on it.
After a year in Italy, in 1954 he moved to Roxbury, Connecticut, and set about completing his second novel, "Set This House on Fire.".
About time somebody set about mending the underlying system and holding people to account.
They set up a school for their children and quickly set about the reestablishment of their daily routines.
Set the snowplow up with shoes set about half an inch above the ground.
So Tim set set about building us some new database servers.
They do not set about helping, instead they set about calculating what will best promote their own standing.

Grantors intend to undertake the activity in question.
It should be the easiest process to undertake.
These acquirers undertake the processing of card transaction.
Undertake regular team briefings and tool box talks.
Undertake other initiatives consistent with the strategic plan.
When you are considering going blonde, undertake it.
Korea has already consented to undertake the task.
Why do you want to undertake this project?
Sale Leaseback Transactions to undertake capital expenditures or to undertake acquisitions or other business combination transactions or for general operating purposes.
Lawyers should not undertake such joint representations if adversity seems inevitable, but may undertake such joint epresentations otherwise.