For large fanout nets, use set_ideal_network. This should be done during synthesis, before running clock tree sythesis. During CTS you also need to buffer your high fanout nets.
set_false_path on a pin/port/net is used when you don't care about timing through that path.
set_disable_timing is used for disabling timing arcs through cells which are not real or you don't care about.
Regarding shelby's reply, you should set your HFN to be ideal before synthesis, but it doesn't matter for cts because cts will only build a buffer tree for what is defined as a clock.