Welcome to the forum.
If you have an old house where the older cylinder stove looks good in, then consider it first.
The Nickle plating is cosmetic, and if you buy this stove, you can polish the plating it still has, and it will probably look OK, maybe even pretty good.
But the older stove needstto get to the rebuilder for a close inspection and estimate,, broken, missing or cracked items can be very costly.
The cabinet stoves usually are inexpensive, mainly because thay don't appeal to most people, and don't look good in a living room or parlor.
Some however are very good heaters..
The main difference between a wood stove and a coal stove is the design of the grates and the ashpan area.
Be carefull with the 'other' stoves you are looking at !! a coal stove MUST have a moveable, shaking, rotating or aggitating type of grate,. The
air for a coal fire must come from underneath,
A wood stove, like the typical fancy 'parlor' stove from the early 1900's does NOT hve an ashpan area, and while thay are often advertised as
wood and coal',, they really are a wood stove, and also don't put out as much heat as you are likely to want and need.
If you buy the cylinder stove, before you take it to the rebuilder, PM me and I'll tell you a great trick for easlily cleaning the remaining Nickle plating
on the stove, so you can see what it looks like before it goes to the rebuilder, this will make the decision about replating the stove easier.
By the way, do you have a good chimney in the room you plan on adding a coal stove to?? you might want to have someone give it a quick inspection
before you buy a stove.. And DON"T fall prey to the 'chimney liner salesman'.. most old chimneys are good, just need a cleaning, and maybe the removal
of old bird or animal nests.. The Stainless steel chimney liner is 95% of the time a scam or worse.
Take a photo of the back of the first stove, and we can be sure if it's a base heater or an Oak stove.. Since William says it's an Oak stove you have a
99.9999% probability that it IS and Oak stove..
Take care, hope this helps