Re: Recs on tractor/equipment for multiple uses
I rarely recommend Zero Turn Mowers, but they have their place which is a few acres of mostly flat land to be finish mowed. You don't have to go top end though.
A walk behind field and brush mower could probably clear the brush. None of them are low priced, but some are less than DR for better quality. Unless you think you'll have need for that in future seasons, that process might be one to consider having a company come in and do it though.
If you decide to also get a small tractor, you can add a towable brush mower to maintain that area until the brush dies off and grass takes over. A towable tiller will help there and in many other ways.
The initial brush clearing on the slope is also something to consider having done. There are special machines for that and people that know how to use them with less risk. Once that's tamed, you may be able to use a zero turn mower if the slope isn't too steep.
A small tractor (SCUT) will weigh close to a ton with the machine, mower, loader bucket and operator (you). That WILL leave ruts in softer ground.