You can't just transfer a rental property to an LLC.

They are transferring a legal right in the property for consideration.

After that, I would like to rent it out.With that said, should I buy it under my name and then transfer it to the LLC when the time comes to rent it out, or should I buy it with the LLC immediately?

The Seller's bank needs to be notified of the title transfer, right?

Before death, property was transferred into an Irrevocable Trust, of which I became Trustee upon death.

You would transfer it to your bank, just keep those records.

Quote from @Varun Hegde: According to public records, the property was boarded up in '21 before sale in '23 for $160k.After the transfer, looks like somebody from the city came by and noticed the property was falling apart.

And the credit.... well it went off our personal credit( again the idea of spending another $3000 for this was so they would transfer our new found personal debt into business debt so our credit scores we worked so hard for would go back up.

DonAnswer questions like "what state should I invest in" or "what do I do with a tenant not paying" or my favorite "how do I transfer my home into a llc" which literally has been asked more times than a school bus of 10,000 kids on a trip asking "are we there yet". 

We bought the new property in our individual names and then immediately transferred our individual 50% interest to two LLCs in our names.