I suspect it really depends upon how much property you get, and how much maintenance you might need.
We've got ~6 acres. It's very rural. We could probably use a small tractor. The PO of our property had 2 horses, so there's a fair amount of fence, not just around the perimeter, but also separating the property into 3 separate "fields", and a horse barn. The PO had a small-ish (maybe medium) tractor with a few attachments. I know that one of the attachments was an auger which would be very useful for dealing with fencing, and they used it when building the horse barn. Depending upon how yours is laid out you probably want a mower attachment ,and a shredder may also be useful. I don't know if any tractors have blower attachments, but you may be able to get something that you could use as a plow if snow is an issue.
At the very least, a nice zero turn mower would be a good idea. We probably only mow 4-5 acres of our space, and it still takes 4-6 hours.
We have a dump cart that we can tow behind our ZT. (kind of like this)
It gets a fair amount of use, but something bigger would be nice. It gets used to move stuff around, dirt, wood that's been cut up, branches/twigs that have fallen, etc.... The dump feature is nice, and I can't imagine not having it.
Assuming there are trees, then yes, a good chainsaw would be essential. I think the one that we have has a 16" bar which means that it can cut up to 32" diameter. Bigger and more powerful would be nice, but I haven't found that I
need bigger. But hey, who doesn't want more power?
We use a Ryobi 18V brushless weed eater. It's adequate. I wouldn't think you'd need anything crazy. And here in Texas, a lot of folks use an herbicide on their fence-line, around barns, etc... I think a lot of folks spray from either an ATV or tractor. But you'd probably want a trimmer for the "yard" portion of the property.
I'll bet that SH/Paul is one of the guys that really needs to respond here.