MYGAs can be annuitized at the existing carrier without a 1035. For ones issued today, it's normally not advantageous. For those issued over 10 years ago, annuitizing an existing annuity (of any kind) MAY be a better option.How can a MYGA have an annuitant?
Also, and again, not so much today, but some contracts are/were driven (which triggers death benefits) by the annuitant and not the owner. You still see this in trusts owned policies that need to base everything on a natural person (since the trust doesn't "die"). Those contracts become annuitant driven.
I would suggest speaking with someone to recommend a plan based on your goals, and then questioning all of the moving parts of that plan (even if it does SEEM to accomplish what you're looking for).
That way, you know what you own, what to expect, and you don't have to learn an entire industry all at once.