I have never known the cat who did not swiftly understand and respect the value of a good home heating stove... cats will be fine, so dont worry!
Its fantastic that your firepot came out, this is a sign the stove was handled well over its lifespan! I do know, even in a perfect stove how tricky the firepot can be and after a few hundred of them you will stop mashing your fingers
The firepot is likely the most expensive item as well as the item that can fail over time with over-firing (if you never allow your surface temp to go over 650 your firepot will remain ok, you can push it past that and the stove, grate, etc. can take it BUT the firepot cannot over the long haul).
as ive told others...i would smooth up the outside of the pot with a grinder slightly so she slides in and out easier, I would remove the whole grate system while the pots out and give it good looksie, the piece that goes through the wall of the stove can be tapped squarely and lightly to fall into the stove if its tight (clean it, get some good high temp grease and smear it on it before putting it back in).
if you really wish to get fancy you can take the time to clean up and smooth each piece of the grate system with a grinder, when you take the gasket off the doors you can lightly smooth the surface of inside of the door, etc. (all these things make a more "machined" quality and less abrasive little "nubbies" from the foundry).
the glass is ceramic (not to be confused with woodstove glass or fireplace screen glass)... ceramic is expensive! each piece for that stove is about $30.00, i would suggest you remove the retaining straps and buy new 8/32 or 10/32 screws (im not sure which you have as we changed to 10/32 in 1984)... you can get them in stainless or something nice for a couple bucks. take note now because this will save you a major headache... when your re-installing the retaining straps... center each piece of glass with the self stick glass gasket on each peice, lay the straps down and then screw each screw EVENLY as you go... you want to snug those straps ONLY to the point of "snug enough" that the glass does not move or cant be slid back and forth with your hand.... if you go to much, you will start hearing the dreaded poping noises.... "pop"... ohhhh *censored* you see a glass brake so you quickly try to save the others and loosen.... then "POP" goes another one and by the time your done your wife is sending you out the house with another $100 bill to buy new glass
your blower is likely a 2 speed fasco (you will only ever need the low speed), value about $200... if its the variable speed then start doing cartwheels because that baby is about $500 now! clean it, take compressed air and blow it out, check the grommets on it for failure which leads to wire failure... it should last you another 30 years if cleaned each year!
check the removable baffle plate (the upper baffle near the flu pipe)... this wants to be in fairly good condition and not warped to a point where exhaust gasses can go under the middle of it (chances are, if your firepot is not warped your baffle plate is OK too). a warped baffle plate can lead to a warped firepot because of excess heat created at exactly the wrong place (dead center rear of the liner pot...its weakest point).
OK... thats a few quickies for you... wish you all the best and as you need help we are all here for you!