Hello fellow West sider!
I'm about the be in a similar situation when my current deal closes. I'm selling a my primary residence for a fair profit, buying a foreclosure with the profit as my new primary residence that will have about 60k in equity right out of the gate, and hoping to get a HELOC on the new house to continue flipping with. The HELOC is kind of cool because if you buy right you can basically keep your liquidity and have a primary residence that you're not paying rent on. That's one strategy to consider if you're primarily planning on flipping.
With that being said, if your goal is to flip and you have the cash to do it that may be the best option rather than having to pay interest on short term financing which can be pretty steep. If you're purchasing to buy and hold then I would definitely finance if possible.
Let me know if you'd want to chat sometime. I'm no expert yet, but I'm in the Lakewood/West Park area as well.