How does the Declaration of Independence impact me?

What a great question! Too often, we neglect the importance of history and the relevance to our current times. By your question, it sounds as if you are thinking about how history impacts current events. A literary example may help you think of the relevance of studying history and the Declaration of Independence from a different perspective. In the book Alice in Wonderland, Alice was asked by the Cheshire Cat, "Where are you going?" Alice responded, "Which way should I go?" The cat replied, "That depends on where you are going." " I don't know," said Alice. "Then it doesn't matter which way you go," said the Cheshire Cat. The Declaration of Independence was one of many documents that provide a roadmap to the future.
Documents like the Declaration of Independence provide us with a starting point to compare where we are today with where we started as an independent American political culture. For example, the Declaration of Independence reads, "We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable Rights, that among these are Life, Liberty and the pursuit of Happiness." When the document was written, the notion of "all men created equal" applied only to white male property owners. Minorities and females were excluded. Today the term "all men" is interpreted figuratively to represent all humankind without regard to race, gender, religion, and culture.
The Declaration of Independence ultimately led to the Constitution, which enshrines the notion of equality as the law of the land. The relevance of this one portion of the Declaration of Independence is that it has become part of the American psychological DNA (for lack of a better description) and is the basis for how the United States projects the concepts of liberty, freedom, and democracy internationally. It is fair to say we as a people have come a long way since those words were penned in 1776! The document gives us a way to measure our social progress since the inception of the political founding of our country.
The Declaration of Independence is relevant not only as a measurement of social progress—it is relevant to how we think of future generations. Following the previous statement, the Declaration of Independence says, "That to secure these rights; Governments are instituted among Men, deriving their just powers from the consent of the governed," meaning we have a responsibility to transmit the principles of self-governance and consent by democratic principle to future generations. We do this by holding the government and its leaders accountable through fair representative elections. Every day, all citizens should take stock of how elected officials are serving the public interest and serving the public good. Future generations are dependent upon the current generation for keeping the ideals of liberty, equality, and justice alive by vigilantly monitoring every aspect of governance. A famous quote attributed to Thomas Jefferson, Patrick Henry, and others is, "Eternal vigilance is the price of liberty," an apt description of how the Declaration of Independence captures our present and future civic responsibilities.
The Declaration of Independence is relevant in history and within the present day context. The ideas expressed are universal and have become the rallying cry for people seeking liberty and equality throughout the globe.
https://www.archives.gov/founding-docs/declaration-transcript

https://www.archives.gov/founding-docs/declaration/what-does-it-say

https://www.ushistory.org/us/13a.asp