Passage
For to you is the promise, and to your children, and to all that are afar off, [even] as many as the Lord our God shall call unto him.
For to you is the promise, and to your children, and to all that are afar off, [even] as many as the Lord our God shall call unto him.
Acts 2:37 Now when they heard [this,] they were pricked in their heart, and said unto Peter and the rest of the apostles, Brethren, what shall we do?
Acts 2:38 And Peter [said] unto them, Repent ye, and be baptized every one of you in the name of Jesus Christ unto the remission of your sins; and ye shall receive the gift of the Holy Spirit.
Acts 2:39 For to you is the promise, and to your children, and to all that are afar off, [even] as many as the Lord our God shall call unto him.
Acts 2:40 And with many other words he testified, and exhorted them, saying, Save yourselves from this crooked generation.
Acts 2:41 They then that received his word were baptized: and there were added [unto them] in that day about three thousand souls.
The verse centers on "promise", "children", "afar", "even", "lord", "shall", and "call". It is saying that the verse draws attention to "promise" and "children", so its meaning should be read from those terms before moving to application.
The nearby context moves from verse 38's "And Peter said unto them Repent ye..." into verse 40's "And with many other words he testified...", so "promise" and "children" belong inside that flow. In Acts context, the local focus is Christ, faith, and discipleship.
A plain takeaway is to answer the verse's own emphasis on "promise" and "children" with trust shaped by these words, not by a vague optimism outside the passage.