I'm going to just cover some general stuff since I'm not a heli guy nor do I use any gyro's... so go by what the others say on those areas.
Your ESC that you have is actually an ESC/BEC.... The ESC is short for electronic speed controller... the BEC is short for battery elimination circuit. So what you need to know is that it is what attaches to a throttle channel and it supplies the power for the reciever and servo's. So the wire coming from the ESC ( the little 3 conductor one ) plugs into your throttle channel on your receiver. On a Spectrum RC system, channel 1 is the throttle... on a Futaba, it is on channel 4 as one alternate example. Make certain you are plugging the ESC/BEC in the proper direction or you risk burning out the receiver.
The first 4-6 channels on a particular brand radio/receiver are typically set to certain functions... like the throttle being on 1 for Spectrum radios/receivers... channels 5 and 6 are kind of standardized but can be used for other things... and all channels after that are user assignable depending on your needs, in short there are no standard things they are used for you can do with them what you want. On most computerized radios, you can typically assign any channel where ever you want although what I said previously are the standards.
For a Spectrum's first 6 channels... the following image shows the standard layout.... I suspect your radio's manual has a very similar diagram for channel assignments. I found the following using a simple google search.
Binding to your radio will be done the way the manual for your receiver states... I suspect it's like what is shown above where you short a couple of pins on the battery/bind pins but it may be a button also.
What Bud Williams is likely right ( remember, I don't know but I've seen similar mentioned a lot on here )... You can likely have used just a satellite receiver and used a single wire to connect to the gyro and would be all good after doing the setup for the gyro. In fact, you can probably do the same with the receiver you have ( use a single wire connection ) instead of using all of the servo wires. The main difference in the two setups is the added weight ( and cost ) the receiver you got has vs the satellite. Not being a heli/gyro guy... I'll let others that actually have setup those help in that area.