New Muslim path
Do I need to change my name?
Short answer: almost certainly not. This is one of the most persistent myths new Muslims meet, so let's settle it properly, and then, for those who simply want a Muslim name, here are some beautiful ones.
The actual ruling
Keeping your name is the norm, not the exception. The Prophet ﷺ did not rename his companions when they embraced Islam; Umar stayed Umar, Salman stayed Salman. Thousands became Muslim and kept the names their parents gave them. Your name is part of your lineage, and Islam honours lineage.
A change is only recommended in two narrow cases: a name whose meaning is objectionable (the Prophet ﷺ renamed a woman called "Asiya", meaning disobedient, to "Jamila", beautiful), or a name expressing servitude to something other than God. David, Sarah, John, Maria, Adam, Daniel? Those are prophets' and righteous people's names already. Keep them.
Why the myth persists
Culture, mostly. In some communities a "Muslim name" became a badge of belonging, and well-meaning aunties at the mosque will ask a convert "so what's your Muslim name?" as if it were a requirement. It isn't. You may also simply be given an affectionate nickname by your community; enjoy it, but nothing about your passport, your family, or your identity needs to change. You did not convert away from your family; you converted toward God.
If you want one anyway
Entirely your right, and many converts love choosing a name as a marker of their new chapter, used alongside their given name or in the community. The Prophet ﷺ said the most beloved names to Allah are Abdullah (servant of Allah) and Abdur-Rahman (servant of the Most Merciful). Some other loved names and meanings:
Adam male
The first prophet; already shared across all three faiths
Amina female
Trustworthy, faithful; the Prophet's ﷺ mother
Ayesha (Aisha) female
Alive, flourishing; the scholar-wife of the Prophet ﷺ
Bilal male
The freed slave with the beautiful voice, Islam's first muezzin
Dawud (David) male
Beloved; the prophet-king of the Psalms
Hana female
Bliss, happiness
Ibrahim (Abraham) male
Father of the prophets
Idris male
Studious; an early prophet
Iman female
Faith
Khadijah female
The Prophet's ﷺ first wife: businesswoman, first believer
Layla female
Night
Maryam (Mary) female
The mother of Jesus; the only woman named in the Quran
Musa (Moses) male
The prophet who confronted Pharaoh
Noor female
Light
Omar (Umar) male
Flourishing; the second caliph, famous for justice
Rahma female
Mercy
Safiya female
Pure, sincere friend
Salma female
Peaceful, safe
Yahya (John) male
John the Baptist in the Quran
Yusuf (Joseph) male
The prophet of the most beautiful story in the Quran
Zayd male
Growth, abundance; the Prophet's ﷺ adopted son
Zaynab female
A fragrant flowering tree; two of the Prophet's ﷺ daughters
Choose for meaning, not obligation, and take your time; you can adopt a name in year three as validly as in week one.