@Chris DeSoto great breakdown! Buying a new primary residence to move into and turning your current house into a rental is the easiest way to build your portfolio, low down payments and the best available interest rates.
I would not renovate the current house before you turn it into a rental if the rehab would cost $100k and would only bring in an extra $300 per month. You have good leverage on it now with about 65% LTV and a super low interest rate, so your principle pay down is strong and you are going to be net cash flow positive even after repairs/maint, cap ex, vacancy, and management. In 7-10 years you can do the rehab right before you decide to sell or cash out refi.
Buy the new primary residence with a conventional loan 5% down payment. Maybe in a few years if rates drop and/or values go up you can do a rate and term refinance to get rid of the PMI and/or lower the rate.
Save your cash and repeat this same thing again in a couple years. Here is a post I made on how I did a very similar thing: https://www.biggerpockets.com/forums/61/topics/1096979-how-i...