You can facilitate all of this on the LightYear Docs portal as follows, which includes an upgrade to the latest LightYear Docs SMSF governing rules:
1. Set up special purpose corporate trustee: https://www.lightyeardocs.com.au/product/smsf-special-purpose-company
2. Upgrade the the SMSF with the old Trustees: https://www.lightyeardocs.com.au/product/simple-smsf-deed-of-variation
3. Complete a change of Trustees: https://www.lightyeardocs.com.au/product/change-of-trustee-for-smsfs
This comes with relevant ATO forms notifying the change of trustees, plus minutes, three deeds and new governing rules. I am sure your auditor will be impressed.
If you don't feel comfortable doing the above we can do at Abbott & Mourly Lawyers for $795 plus disbursements of the ASIC fee for the company.