I'm going to throw in my 2 cents on this topic...
There's basically 2 categories here:
1) Chinese/cheap 343/433 MHz RF systems. You can buy or put one together for less than $200. These are single direction "remote fire" solutions.
2) Build something bi-directional using XBee or some similar radios, and write all the software.
I've done both. I started with some 433 MHz boards and put together a 4 pad system. Didn't cost a lot, and wasn't difficult at all. When I started using it, I ran into some major annoyances -
1) no continuity check at the controller station. Don't think you need it, but amazing how many times it's a useful extra check when you don't have it.
2) No voltage check of the pad box battery. If there is a continuity check, are you sure the battery has enough juice remaining?
3) Is the remote box "armed" or not, and can I disable the remote box from the controller. If the arm key on the controller is off, I'd like only the continuity circuits live at the pad. Reduce the chance of accidental launch.
4) etc... Turns out there are a lot of small useful things that are nice to have, especially as the pad gets further and further away.
Now, if you're OK with the above limitations/caveats, then you're good to go. Take a look at
https://www.rfremotech.com/ - Looks like you can buy one of the new Alpha Fire modules for $13.20, and the 2000m transmitter for $19.00 and you're done. They also sell DIY components if you want to package them in your own casings.
Assuming you don't wan to compromise, so we move on to a bi-directional system. Now there's software to write, and a bunch of safety precautions and testing that absolutely HAVE to be in the software. This isn't like writing small scripts or web pages. This is more like writing medical equipment software. Worst case scenario with launch control software is that someone dies. Harsh, but true. No short-cuts with this software can be allowed.
The great part about this hobby is that there is so many different aspects from ground control electronics, to mechanical/materials engineering, and chemistry for motor making.
If you enjoy the challenge, I strongly encourage this path of exploration. I found it really fun and fulfilling. I even spent ~2 months (spread as a couple hours here and there over a few years) writing the software and playing with Arduinos, Xbees, and directly programmable Xbees. Lots of fun and lots of learning.
That said, I'm probably going to buy a personal Wilson F/X system to replace my homegrown units. I made everything work, but I'm tired of finding small bugs and edge cases in the code. I wrote the software to default "fail" for any unexpected reason, but that means that the system often won't launch when I think everything is correct. Now I have to troubleshoot which edge case I've hit, or what unexpected scenario has caused the system to disable itself. Fun at home while programming, but no fun when at the field trying to launch.
So, I guess to summarize. If you enjoy this challenge, by all means, please go for it. I did it, and it is fun. If you're doing this to save some money because "this isn't much different than a garage door opener," I would recommend you save yourself a LOT of time, and just buy the Wilson system. At the end of the day, the Wilson wireless system will actually cost less than the amount of time/money you would spend to build something even remotely equivalent.
Well, I guess a lot more that 2 cents at the end of the day. Cheers!