I can't believe you've been on the forum this long and I haven't welcomed you to the forum. Please add your location and your bike's model and model year to your profile so that you don't have to remember to tell us every time and we don't have to keep asking when you forget (see Forum Settings link in my signature).
And welcome to the world of antique vehicle ownership (they own us, not the other way around). Your bike is about 4 decades old and may or may not have had all of the maintenance necessary to keep it safe & reliable so it is highly recommended to download the Factory Shop Manual for your model (available through the CX Wiki - link in my signature) and go through all of the service procedures, regardless of whether your bike has reached the specified mileage.
I also recommend looking on all rubber parts with suspicion because rubber does not age gracefully. Check the date codes on your tires and replace them if they are over 5 years old no matter how good they look & feel (old rubber simply cannot flow around the irregularities in the asphalt well enough to grip, especially if it is cool or wet). If your bike still has the original rubber brake line(s) (should be replaced every 2 or 3 fluid changes = 5 or 6 years) I recommend shopping for modern stainless braided ones (they last practically forever and double the life of the fluid). And don't forget things like the rad hoses and the boot between the engine and swingarm (they can crack on the bottom where you don't see it).
As for the forks, I agree with Phreak about doing the full rebuild the first time. There could very well be 40 years of accumulated sludge in there.
This could be a good time to think about eliminating the air hose too. Its sole purpose is to make it so that you only need to check the pressure once for both forks but if a seal suddenly fails it will let the air out of both forks and the front end will collapse.
When I hit a pothole on my GL500 sidecar outfit and a seal let go I was only 30 Km from home but I still remember feeling it bottom with every bump almost 20 years later. Not long after that I eliminated that hose so that if a seal let go there would still be at least some suspension.
It might also be a good time to think about adding preload spacers to the forks to improve their performance or even eliminate the need to add air pressure