First, congratulations on changing your diet, and resolving your inflammation, good result! You are wise to be wary of staying on Omeprazole for longer than necessary, as it reduces stomach acid to very low levels. In turn, you stop absorbing nutrients and vitamins from your food, which can result in unpleasant side effects. This is why GPs usually prefer to prescribe short courses of the drug.
Coming off it can also be a problem for some people as they get rebound acid, worse than the original reflux problems, and it becomes a vicious circle, where they have to continue taking it. So, tapering the dose gradually is advised, and you could also take ranitidine (which works in a different way), and can be bought OTC as Zantac, or supermarkets' generic product.