There is one old Dogecoin mixing service that existed before. I haven't used it personally, nor do I know if they are very active or not. But back then, there was some speculation that the service offered privacy' protection, which I don't know how effective that is. Since it's a matter of funds, you need to be careful. You can search on Google for "Dogecoin mixer." But there were also several warnings from users who doubted the transparency's legitimacy.
But if you really care about enhancing your Dogecoin privacy, you will need to do a little work either by migrating your holdings into layer 2 (like ERC-20) or under the Omni network and operating only on Dex-supported exchanges, or you can swap it to privacy coins like Monero using Dex, then later convert back to Dogecoin and withdraw it back to a sperate wallet, breaking the bridge between it and the old wallet.
If a mixer for Dogecoin exists, it would be centralized. Haven't found a non-custodial solution yet. Speaking of privacy on-chain, I think it will never happen. Especially with the US government going after developers of mixing platforms. I'm yet to see whenever separate L2 solutions with built-in privacy will survive.
If the developers/creators of a privacy-oriented crypto project are publicly-known, we should expect it to fail soon. There doesn't seem to be much demand for privacy on DOGE these days. This is not surprising to me, considering that Dogecoin is a "meme" coin. At least, everything is open source. Hopefully, Dogecoin will remain decentralized for generations.