Very sound advice that Jim gave you.
For federal law, any weapon made before 1898, is considered a non firearm & no permit needed to possess or transport or even put in the mail. That's not to say that some states DO not have such laws that may require a special permit, so check with your local law enforcement if applicable. Very few states have such a knee jerk reaction but, better to err on the side of caution.
Even in a state that has no such law, it might be prudent to wrap such a weapon in a blanket or in a gun case (if you can find one to accommodate such a piece), when taking to a gunsmith. You do have some people today that have an aversion to any gun & may have a hissy fit if you carried it in the open.
If not knowledgeable about firearms, it would be wise to have a competent gunsmith check it to see if a projectile is in the barrel.
Concerning antique firearms, you do not want to overly clean such a weapon. Collectors prize the "patina" on such weapons & removing that "patina", dramatically reduces the value of the weapon.
My suggestion after it is inspected to see if loaded, is to lightly oil all the metal with a good gun oil.
The wood can be lightly cleaned with a damp rag.
There is a product called "Snake Oil" that can be found on the INTERNET or at gun shops that is great for both the metal & wood & I use that on my old firearms. Great stuff.
As Jim said, keep it away from direct heat, Very bad for the stock.
You can find individual gun holders to fit your weapon & should not be a problem.
Good luck.