1. Major centralized exchanges (fastest for most people).
  2. Peer-to-peer options or Bitcoin swaps if you already hold BTC.
  3. Gift cards or prepaid methods for those who prefer not to link bank accounts.

Recommended first hardware wallet

A hardware wallet that supports Dogecoin. Buy it from the maker when you can.

Once purchased, move coins off the exchange the same day. The process is identical to Bitcoin but noticeably faster and cheaper on fees.