I was thinking, if you buy your BTC at Coinbase and then transfer them wherever, anyone with access to Coinbase's records will be able to track your BTC and tie them to you. Is that right?
Right. Bitcoins are not anonymous. 
Topic: BTC not so anonymous with Coinbase? - page 2. (Read 7409 times)
If you then move to another address of yours, nobody without records of your addresses can be sure they are still yours.
or try gate.bitcoinfog.com
Access to any exchange would allow you to track the coins, this isn't something specific about coinbase. Some methods of exchange may be slightly closer to being anonymous, but none are completely anonymous. If you really want to get coins in a way that can't be tracked, then solo mine so that no one has any info on you.
Bitcoin is not anonymous
I was thinking, if you buy your BTC at Coinbase and then transfer them wherever, anyone with access to Coinbase's records will be able to track your BTC and tie them to you. Is that right?
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