@Michael Tompkins
This is a discussion that can go on for days, and it can be complicated if we want to make is so.
But Ill keep it simple.
My thoughts shared with you..
Keep the house! Don't sell unless you absolutely have to. You have great equity in it, keep the momentum going.
HELOC is an option, but whatever deal you are putting it into has to really make sense. You can always get a HELOC, don't use it, and have it ready. If a no brainer, absolutely amazing deal comes through and you need the money for down payment etc. jump on it! Otherwise be cautious taking that money out just to make some investment, overleveraging can kill you before you even start.
What is the goal here for you? Buy and hold? Flip? How involved do you want to be?
Make sure you ae confident with what you are doing and the time that it will take away from whatever else you have going on.
Don't worry too much about cash flow in the beginning especially when you are working with limited funds.
Do a few projects, take the cash, move on. Once you have enough cash to sparingly invest in different projects, put some in rentals, use the other to make more.
If real estate investing is your long term. Start the process, you will lose along the way, it wont make sense a lot of the time but you need to get through a lot of the hurdles, and processes to really understand what works for you and what does not.
But be careful with your home, make sure you don't lose the shirt on your back...