What's your current height and weight?
Whether you want to cut fat is up to you. If your primary goal is to build strength, then sticking to the program and dialing in your nutrition (not necessarily cutting back) should be fine. You could consider adding some easy walking on the non-lifting days if you wanted to do a bit of basic conditioning without interfering with the strength work.
From the article:
"I've had people get great results doing a more typical bodybuilding routine (a Meadows program) for 3 weeks between strength cycles."
So anything based on John Meadows' work. I believe some splits Meadows often uses are: Chest/shoulders, off, back, off, arms, legs, off. Or Legs, chest/shoulders (heavy), off, back, chest/shoulders (pump), arms, off.
But really, any bodypart split would be fine.