$Million is pretty simple. That's an everyday real estate purchase is a major US city. Tens to hundreds of millions is different. But even tens could be handled by any attorney in the field. That's estate planning level.

As long as you have clean money with an obvious & documented provenance (i.e., how it was earned), and an obvious above-board purpose such as buying a house, sure, transferring a few million is likely to be straightforward.

But that is off-topic - the topic is anonymous transfer for unspecified reasons.

Even transferring between two accounts of different businesses you own can generate SARs (Suspicious Activity Reports) at $5K level. Even multiple deposits of a few $thousand in cash will draw attention & be subject to confiscation if you don't have a solid & documented explanation, such as running a big & legitimate cash business.