I shouldn't have left out I'm trying to find fans that have a rainbow effect that aren't just one solid color
What you have, is 4-pin +12V RGB header. But what you're looking for (rainbow effect) is only possible on 3-pin +5V ARGB.
Here's the difference between the two:
On the regular +12V RGB header (4-pin), all LEDs of a primary color (R, G, B) are chained together and act simultaneously depending on the input signal. This makes individual LED addressing impossible.
Pinout:
pin #1 - +12V
pin #2 - G (green color)
pin #3 - R (red color)
pin #4 - B (blue color)
On the +5V RGB header (3-pin), there is LED driver control for each RGB LED package that translates the serial information coming in through the data pin into a specific output for that LED package it is attached to. That method makes single LED addressing possible.
Pinout:
pin #1 - +5V
pin #2 - data
pin #3 - empty (no pin)
pin #4 - ground
Now, you can't combine them, by e.g plugging the 3-pin ARGB fan to 4-pin RGB header, since plugging the 3-pin RGB connector to the 4-pin RGB header fries the LEDs, because you'd be feeding more than twice the voltage to them (12V vs 5V). And even if the addressable LEDs somehow survive the initial power up, there's no data pin in the 4-pin RGB header to control the LEDs.
I'd also like to be able control fan speed.
All fans, that have either small 2-pin, 3-pin or 4-pin header for power, that connects to MoBo, can be controlled speed wise. Now, a fan that only has big Molex connector and connects directly to the PSU, can't be controlled. That fan will run 100% all the time.
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If you want ARGB fans, with rainbow effect, your best bet would be looking towards kit, that comes with dedicated control for RGB.
E.g Corsair HD120 3-pack, with controller, is one such fan set,
specs:
https://www.corsair.com/us/en/Categories/Products/Fans/hd-series-rgb-led-config/p/CO-9050067-WW
Fans are 4-pin PWM and connect directly to your MoBo, where you can control the fan speed by BIOS. And for LEDs, it has dedicated controller with buttons. Also, Corsair HD120 RGB fans, performance wise, are one of the best out there. 54.4 CFM airflow and 2.25 mmH2O static pressure. Out of the RGB fans, that i know of, only the EK-Vardar (that i linked above) outperforms Corsair HD120 RGB fans.