I did not grow up around tractors and slowly learned with an older Ford. My first two tractors were basic tractors. Manual trans with no loader. Next tractor with loader for farming and two with hydro trans. One fully loaded. Two tractors with cabs and rest open station. Cab and open station each have their advantages and disadvantages.
You have been given a lot of great info. Start slow, even with rpm's. It is not only ponds to worry about, ditches or any drop off. Study the four-wheel drive on when to use it and when not to. Short, not on hard surfaces, will damage the system.
Check the air pressure, tractor tires can look good due to stiff side walls with low air pressure. Had a tire to pop loose using it one day due to this. Glad it was my smallest tractor and using it slow.
Play with the brakes, if manual trans learn how to use them to help with steering on slopes and to turn with them. If hydro trans, well unless going downhill and needing to slow or stop is only time I use them on a hydro tractor. I think it has been pointed out only the rear tires have brakes so if rear tires don't have any grip or poor traction such is heavy loader load and stopping...may not have any stopping ability with the brakes. In such a case drop the front end loader. If moving fast and you have the time left the contact of loader to the ground be gradual so not to stand on the front end.
One thing I did not notice I am really working on in my family. You have a 14 year old daughter. As you learn teach her and your wife. Yes they can be a great and really enjoy it. My wife a young 69 has been learned front end loader and I think doing a good job. The more they learn the more they will appreciate the tractor and attachments. I do not think there is anything better to learn to drive than a tractor without front fenders as low speeds and you can see how the steering works with the front tires where that is not possible on a car.
On protecting the grill area, if you are moving brush with it do get strong sufficient grill on it. It does not take much of a branch to cost you several hundred dollars. This is one of those ask me how I know things.
On PTO, you don't want to be running high rpms when you engage if unless it is manual engage as you then can engage slowly. Slamming the pto system with high rpms with some with electric and maybe hyd engagement has had impact on that sytem.
You will be amazed how much you are able to do as you learn your tractor and equipment. Take care and be safe.
Kenneth