What are the AIs you are playing against? Some spawn more than others, some less. Generally defensive AIs spawn more Eyes.
Also, you may be fearing Eyes too much. Sometimes if just doesn't matter if you trigger them. Ion Eyes, for example, can be ignored if you have some high cap ships to absorb loses. Parasite Eyes can be ignored if you have a decent amount of reclamation immunity. It varies quite a bit, but you may find sometimes trigger an Eye isn't the end of the world (Nuclear Eyes being an exception). In other words, don't let the tooltip scare you, experiment with what is possible.
I do believe there is a cheat to remove Eyes, if you want to go that route.