Rather than assume anything about the situation, perhaps we should ask why the OP wants to eliminate the horn relay?
Once that is understood, good advice can then be given. That information would help determine if the horn and relay really is non-essential (such as an off road car) or if it really would be considered still essential (a street car).
The technical question is easily answered as has already been stated by other replies.
Well, I want to at least go with a more updated type of relay that doesnt look like a relic.Anthony, as Doug points out a junction block will work to eliminate the horn relay, but it will eliminate the horn as well which could cause you inspection issues. If you have a good functioning horn relay, I'd suggest you leave it as is. You can't eliminate all the components in a car that "might" cause you an issue, if you did, you wouldn't have a functioning vehicle. I don't think a junction block will look any better or cleaner than a horn relay.
If you learn how all the systems in these first gen Camaros work, they become pretty easy to trouble shoot and if maintained well, they are pretty reliable vehicles overall.
And, to be helpful I will throw my opinion into the ring. I see what you are trying to do. I dont think the horn relay will cause you much trouble. Its a fairly robust item. Now, right next to it is the voltage regulator. Eliminating that would be a worthwhile endeavor. Whether you replace it with a newer solid state unit, or replace the old alternator with a modern, internally regulated one, you will notice improvements in charging, brighter headlights at idle, and a more reliable charging circuit.
Anthony, as you know by now that a working horn is required to pass a state inspection. But to answer your question and to keep the wiring neat remove the relay and wiring. You can connect all the 12v hot wires to a battery junction block. Connect all the grounds to the radiator support using star washers. Here is the battery junction block. http://www.camarocentral.com/1967_1971_Battery_Cable_Junction_Block_With_Nut_p/wir-341.htm