hmmm yeah those are definitely both good steps. I'm gonna list a bunch of other stuff you could try, and obviously you don't have to do all of it, but hopefully some of it will be helpful!
take steps to reduce your pollen exposure:
look up the allergy forecast for your area (weather.com can do this, among others) and try to minimize your time outdoors when the pollen count is high
similarly, try to minimize your time outside during peak pollen hours, which are from morning to midday. windy days will have a higher pollen count, while rainy days will have a lower one.
wear sunglasses (or regular glasses) while outdoors to provide a barrier between your eyes and pollen
change your clothes and take a shower after spending time outdoors. you'll at least want to be sure to wash your hair before going to bed to avoid getting pollen all over your pillow -- then you'll be breathing it in all night long
if you're concerned about tracking pollen into your home/bedroom, you can get a HEPA air filter. this can be pricey though. if you do look into getting one, I'd suggest one that has lights to tell you when to change the filter, because in my experience the filters tend to last a lot longer than the estimated time (which I think is based on if you run your machine all the time, which personally I don't -- I have old carpets in my room, so my doctor recommended that I run the machine on a timer while I'm out of the house and time it to end at least two hours before I get home so that the dust that gets stirred up will have a chance to settle)
if you have any other allergies (e.g. pets, food, etc.) this would be a good time to get stricter about avoiding them, since it can all sort of add up and cause a reaction even if normally you're not super sensitive to that particular allergen.
if your eyes are itchy or irritated, chances are you're rubbing them and irritating them further (no matter how much you try to avoid it -- I used to scratch my eyes in my sleep before I got my exposure under control). you can calm them down a bit with a cool wet washcloth applied for 10-20 minutes. after that, dry your face and apply lotion (preferably unscented). 20 minutes later, apply a cortisone cream.
you can also get OTC antihistamine eyedrops.
you'll want to be real careful about what sort of products you put near your eyes so as not to irritate them further. I use Vanicream lotion, which my dermatologist recommended to me, and a handmade goat milk soap that's certified by the National Eczema Association. coconut oil is also a good gentle option for moisturizing.