I'm so proud of myself right now*. There was a long oak branch at ~35 degrees hanging over the area where I wanted the concrete pad and things happened so fast with the contractor that I didn't have time to get to it before the pour, so I knew I'd be taking it down after the pour, but was worried about dropping it on the pad and breaking it. Yesterday I trimmed back everything but about 25ft of 12in diameter trunk, which would almost certainly be bad if it fell on the pad. It was only overhanging by about 3ft from the end, so I cut a t-post to size to use as a kickstand, then cut the branch at the base about 3/4 of the way through, but made the cut nearly vertical, then just rocked it back on forth until it was loose enough to push it over by hand and away from the pad. Worked perfect, totally uneventful.
*Should have just done it long beforehand to avoid even the possibility of an issue.