-The TSP will deduct a $50 fee from the proceeds of each loan issued.

Insurance, property taxes, which are very easy to look up on your own. 

How should I proceed with a refinance?

If you're going to proceed to closing make sure your future tenants FULLY understand that the only things that should be flushed down the toilet are #1, #2, and toilet paper. 

We'd proceed through the BRRRR strategy the same as we would if using an HLM. 

How would you proceed?

When all is said and done: We will have four properties in our LLC,We will have a new cash-flowing rental property,The three mortgages on the existing properties in my husband’s name will be paid off, My husband will be able to borrow more mortgages in his name,We will have about $2300/month in cash flow from the four properties (rents minus blanket mortgage P&I + taxes + insurance),We will have about $10k in our pocket after all closing costs and expenses are paid.

I need some advice on how I should proceed forward.

You might not need it but it's like insurance - you wish you had it, when you needed it.  

In addition to have a loan officer, or broker, you will need to add to your team at a minimum such experts as GC's, insurance brokers, home inspectors, CPA, attorney.