I’m very sorry to hear about the passing of your mother, TexasLine.
As for the other questions, there are a lot of variables. Again, I would suggest that you talk to an estate attorney or a financial adviser/accountant who specializes in estate planning.
That being said, everything depends on who the trustee is (not sure that you can transfer rights/responsibilities away from current trustee if that’s not already written into the trust documents) and the beneficiaries of the estate.
Are the houses held in the trust already? If so, you just sell the homes and open bank accounts for the trust (bring trust documents to bank to do this), and deposit the funds into the account as you would a personal account. Banks do this all the time, so if you just bring the documents in, they will be able to set it all up.
If there are other beneficiaries, I would personally advise you to make sure their interests are taken care of, based on the directions in the trust, before buying your own house. Be careful about conflicts of interest, trustee responsibilities, etc. Make sure that the trustee, whether you or someone else, abides 100% by the directions laid out in the trust documents. If you’re not sure about some of the details in the trust, be sure to get legal advice. The trust might be able to pay for this advice, depending on the circumstances.