A hearty welcome to OCDO!
"Oregon has no prohibition on carrying loaded handguns in your car. But the state DOES allow localities to restrict loaded carry of firearms “in public places” which, oddly enough, includes your car."
"If you are in a place like Portland or Oregon City that restricts loaded carry by people who do not have concealed handgun licenses, you may not have a loaded firearm in your vehicle. Furthermore, if it is a handgun, it must be carried openly or “not readily accessible.” That means if you have a trunk it must be there. If you don’t, it can be in a locked glove-box, center console or other locked container and if the container is opened by key, the key cannot be in the container."
"Long guns do not have to be “not readily accessible” but if you don’t have a concealed handgun license and you are in a locality that restricts loaded carry it must be unloaded."
Looks to me like you are good to go.