Here it sounds like everything has been taken care of except the house. Since this is real propety there are deeds in the name of the trust. You need to fill out and file in the counties where the real estate is located a form similar to the following
Notice of Substitution of Trustee
The undersigned beneficiaries hereby appoints ___________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ as successor trustees under the trust deed executed by ____________________ as trustee, and recorded ________________, _____, in _________________ county in book or docket _________________, page ______________, and legally describing the trust property as:
(legal description of trust property)
The successor trustees appointed herein qualifies as a trustee of the trust deed and are authorized to act in the trustee's capacity of the _________ Trust and to have all the powers of the original trustee, effective immediately.
Dated this _______________ day of ________________, ____.
You can wait and file this when you transfer the property and also file the death certificate. As trustees you have the authority but you should consult the beneficiaries and I always recommend that you get written approval.