I've owned three wood cook stoves in my life. Everyone of them I've taken apart, scrapped with a wire brush and put back together with "stove sealer".
It looks like a big stove, so taking it apart will not only help you move it, but will allow you to rebuild it and seal up the joints properly. WD40 is helpful for loosing stubborn door hinges,
enough to unbolt or cut off the bolts to be replaced with new bolts.
Oil all parts of the castiron with a mixture of coconut oil to re-season the castiron. If you have a metal container large enough to submerge the pieces in oil and bring the oil to a boil, that would be a good way to although the pores in the castiron to expand and "drink" up the oil. Remove from heated oil and the "bake" the thoroughly wiped and dried parts in a 500 degree
oven for several hours. I use coconut oil because its the most pleasant smelling when burning in the first few firings.
I agree with the previous response of finding an experienced wielder to fix any cracked castiron parts. If the top where the eyes fit on is cracked, see if you can find a replacement part. This part will be receiving the most heat and would be best as an unwielded piece.
Once you've cleaned it up and start using it, clean out the soot every three weeks for maximum efficiency. Oil it with the coconut oil at this time too. If burning coal, you'll need to clean out the soot every week. This guideline only applies if the cookstove is your primary source of cooking.
"If you can't take the heat, get out of the kitchen." - Last bit of advice; make yourself an outdoor "Summer" kitchen, say on your porch. Invite your neighbors over for a "stove moving party" every Spring and Autumn to help you move it outside and inside. Figure that an average human can lift 150lbs with a bit effort. take things inch by inch and don't rush. You don't want to crack the castiron. Provide beer/wine and I might even come for it.
I'll be taking my Martins King 8-20 stove apart and resealing/oiling as one of my Winter projects. It's never been taken apart since it was manufactured in the 1910s/20s.
Cheers!