That's true, Bitcoin created for the purpose of having transparency through public ledger, though it's not designed for anonymous instead, it can give you more than enough privacy if this is your concern.
My question is, is your Bitcoin address linked to your personal identity? Then how?
You can use mixer service as mentioned above, mixing method is a process that tries to break the linkability or traceability towards your privacy, and in addition above aside from Wasabi that gives free service of mixing coin. You can also use Bitmix and Samurai Whirlpool to increase your anonymity.
wasabi does not give free service. They charge 0.003% per anonimity set and keep any change that's smaller than 0.3% of the base denomination.... Exceptions do apply from case to case.
Last time i coinjoined with wasabi, i ended up with a 70+ anonimity set, so the fee was 70 * 0.003, so i ended up paying more than 0.2% in fees, since the base denomination is ~0.1 BTC, the fee was a little over 0.002
BTC (about $40 in FIAT at the current preev rate). If your change value is to small, you could end up paying 0.5% (0.2% in fees + 0.3% of the change that's kept by wasabi's owners). The fee is not exceptionally large, cheaper than a lot of other mixers, but not free
Chipmixer uses a pay-what-you-want fee structure, but in order to use it, you do have to read up about their chip sizes... So they could theoretically work for free, eventough i usually do tip them (if everybody would use them for free, they'd stop existing).
Other mixers usually charge between 0.5 and 1,5%... I'd recommand doing your homework before using one... I'd stay clear from the ones with a negative rep on bitcointalk (or the ones without any bitcointalk representation). I'd also stay clear from the ones using cloudflare or missing security headers, or forcing you to use javascript, or the ones without a presense on the darknet (an onion domain)...