Usually Pine trees for me but... what I'll do is ascertain where I think/want the tree to fall. Put my backhoe (full sized industrial) on the opposite side, pre-setup with stabilizers down, backhoe raised and in place against the tree.
Go to tree, make my notch
cut,
cut SOME of my hinge
cut... and then go back to my machine and "simply" push it over in the direction I've prepared for it to go.
THUS FAR (knocking on wood, cause trees always make me nervous) it's worked great every time.
I've even been able to "steer" the tree just a bit to try to help fine tune it to fall between branches of other treees (only a SMALL bit though) Once the tree starts to fall, it's heading down, regardless of the 'steering' I tried to do.
Although I presume there is an element of danger here, I'll admit to feeling a bit more safe doing it this way than having nothing around me and being 100% exposed under the tree (as contrasted to having a steel canopy over my head)
I would NOT
cut the notch/hinge down low on this tree. If I was cutting your tree (absent seeing any pictures) I'd try to
cut the notch 4' off the ground and then simply dig the stump out and use the 4' stump as a lever.
I've done enough digging of flush
cut stumps and a lever makes it a LOT easier to grab & wrestle