Loan wait period and a few other questions.

Hi,

I was wondering how long after refinancing a loan I should/have to wait to open a new loan on another property?

Back story if you need/want it: I have a single family home I purchased with my VA loan several years ago. I have 213k left on my VA loan for a second loan. I can come up with 15k for a new property (looking for a triplex/quadplex in my new area) but they seem to be around 320k. I can refinance my original house into an investment loan raising my rate from 3.5 to 5, but only raising my payment $25 a month, I would have to put 7k down on the house to bring it to the 20% down providing it appraises at what I think it will. This would free up 417k for a VA loan here at my current location.

I would prefer to sell my single family home, but I am not actually sure what it would go for, and how long it would be on the market empty. How much should I expect to spend when selling a house on the closing costs and what not?

I want to get in to a property here in the next 60 days, which is why I am looking at it from these angles. 

Thanks for your advice in advance!