A hub and a splitter are intrinsically the same thing. 1 wire from motherboard for controlling multiple wires output to fans.
The problems come with the fans themselves. A 3pin fan is controlled by it voltage. They generally run 7v-12v, but the better fans can drop as low as 5v. This means powered splitters and most powered hubs will not work for more than a few fans, because power is a constant 12v. The fans will run, but only at max speed.
So you'd need an unpowered hub or splitter but must be careful as a header can only supply upto @ 1A or 12w, and if the total of the 3 fans power draw adds up to more than that, you can burn out the header.
4pin PWM are different. They use a 12v source, but it's controlled by the pwm signal, so you can use upto 10 fans on a powered hub, and the only thing the header supplies is the pwm signal.
You can't mix the 2 designs. If the case fan is 3 pin, that's what the 2 other fans will need to be. A better idea will be to replace all 3 fans with 4pin PWM, then a simple powered splitter or hub will have no issues keeping control of all 3 from a single header.