If you want to refi, you need to do it before it becomes a rental. Once it becomes a rental the rules change. To refi a rental the loan to value has to be 70% or less (meaning you need more equity in the home), rates are worse by about .375-.500%, and they will usually not let you get a 30 year.
I was in a somewhat similar situation minus the money part. My first house was too close to my crazy father and I needed to put some distance between us. I bought in 2006 and prices of course plummeted. I tried to sell it but would have taken a loss of probably 80K, and might have needed to bring money to closing. I made enough that I was able to get into another house and then turn my first house into a rental. I'm still stuck with it. Values haven't gone up enough, can't refi, etc. I'd love to get rid of it, but that probably won't happen till 2020.
I was in a somewhat similar situation minus the money part. My first house was too close to my crazy father and I needed to put some distance between us. I bought in 2006 and prices of course plummeted. I tried to sell it but would have taken a loss of probably 80K, and might have needed to bring money to closing. I made enough that I was able to get into another house and then turn my first house into a rental. I'm still stuck with it. Values haven't gone up enough, can't refi, etc. I'd love to get rid of it, but that probably won't happen till 2020.