Transfer newly acquired investment property into my existing LLC? Why or why not?

[Paul Malandrinos]

I have an existing LLC that was used for a couple of fix and flips in the past. A week ago I closed on my first investment property. It's a single-family condo purchased by me the individual with conventional financing. I anticipate that it will be rented in a few weeks. I have not established an insurance policy - yet - to supplement the condo's master policy. Is there any specific value - or downside/risks - to deeding the property to the LLC? I assume that as long as the mortgage is kept current, the lender will not be an issue.

I sense that since I already have the LLC, why not move the property under the LLC's ownership...?  And if true, does it matter what order I do the following?  Establish insurance, rent, transfer to LLC, make first mortgage payment...?