People can have allergies anywhere although there are some areas where allergens tend to be more prevalent. You might see some improvement if pollens and molds in the new place are different then those left behind. Often times, people develop new allergies in the new location after two or three years. Effective control measures can reduce exposure to identified triggers in any environment. Even though some allergies may spontaneously improve, it is likely that they will not go away completely.
Allergies can sometimes become dormant for a period of time and then suddenly re-appear.
There is tendency for many allergies to become less severe in people after 40 and more severe after age 60.