The legal term for ordinary "stuff" that you can see and touch that isn't real estate is "tangible personal property."
Things that you can see and touch (other than a document representing something else of value) that aren't tangible personal property are usually real property. Things that are not tangible personal property and are not real property are usually "intangible personal property" (a category that includes bank accounts, stocks, mortgage loans owed to the person who owns them, insurance policy rights, rights to sue people, etc.).
Normally, one would execute a document traditionally entitled a "Bill of Sale" or for folks who prefer more modern terminology, "Transfer of Personal Property" listing the tangible personal property transferred, or describing it generally (e.g. "All tangible personal property that I own at this time."), or both (e.g. "My Monet and my seven gold bars and all other tangible personal property that I own at this time.") to transfer tangible personal property to a trust. This document would often by a single page long, with only part of the page for boilerplate legalese and the balance reserved for listing the property transferred and a signature of the person transferring the property.
The description could, but wouldn't have to, describe where the tangible personal property is located (perhaps more than one place). This risks not transferring the property unless it also contains an "any and all tangible personal property I own at this time located anywhere else."), Doing so could alert people looking for it after the settlor's death (or in the event of the settlor's incapacity) that there is also property in a storage unit, or a time-share, or in someone else's shed or basement, or in a safe deposit box in addition to property located in the settlor's residence.
The items could probably be included in a schedule to the trust instead, but a separate transfer document would be the "best practices" solution.
A similar form can then be used periodically when new tangible personal property is acquired.
This can usually be drafted by the same lawyer that drafts the trust. Drafting a living trust without a lawyer is strongly not recommended. I've seen many serious missteps by people who've tried that I've had to fix over the years (in one case, the client had put the north half of a house in a husband's trust, and the south half of a house in the wife's trust). My rule of thumb is that every $500 saved by not hiring a lawyer to do the initial estate plan drafting costs the survivors $5,000 of legal fees to try to fix the problem after the fact (often unsuccessfully).
The trouble is that most of the mistakes one can make with respect to a living trust are not obvious on their face. The documents can look regular and formal and reasonable, while actually having serious defects.
Also, generally, a living trust will be accompanied by a "pour over will" in order to catch any items that weren't transferred to the trust prior to death.