Monica: I've never had Tree Philo's get out of control as they seem to be doing on your property. We have a lot of then growing in our side yard that have been in place since we bought the property in 1975:
Tree Philodendron (Thaumatophyllum bipinnatifidum) all with multiple stems but they've never grown out of bounds or spread to other areas. I guess the only way to keep control of them is to dig them all up (a huge job!) or you could keep hacking back the branches ... and trade or sell the cuttings, LOL.