It has a great 3.5% mortgage, about $70K of equity, and it should cash flow a modest $200-300 a month at this point.My question is - do I just keep the house in my name and run the rental under my name? 

They seem to have good number of properties under 100K built in and around 2000's.

I believe that within three years, rates will be much lower, and you can refinance.Another consideration is that once you get a property under contract, you should immediately shop around for better rates.

This involves finding undervalued properties, securing them under contract, and then selling the contract to another investor.10.

  😉   Depending on the difficulty and expense, I was hoping to put that property under one of my other llc's.

Hiring a property manager under Option B lightens the burden but eliminates cash flow if you leverage the property with a DSCR loan.

You could also ask if you could do your inspection prior to going under contract and then make an offer without the inspection contingency. 

If you need financial help, ask under the "Finance, Tax, and Legal" forum.

You can find it in the fileplace under forms and the file is called cleaning charges. 

Inspections may cost more upfront, but they can save you from significant headaches and unexpected expenses down the road.Negotiate Hard: Use inspection findings as leverage.If the HVAC is near the end of its life, negotiate a credit for its replacement.If the cast iron plumbing is deteriorating and needs replacement, ask for a credit as well.Sellers often prefer negotiating credits over doing the work themselves.To give you an example: I was once under contract for an old house priced at $170,000.