The best treatment and management for allergies is to stay away from allergens as much as possible. Not having these birds is my advice.
Next Steps
If you really want to keep them anyway, draw a line between you and your pet birds to get minimum exposure to the allergens.
Health Tips
Keep them in a separate area, use gloves, masks, goggles, full sleeves clothes while handling. Proper ventilation in the room adds comfort to you as well as your pet.