My suggestion is to consider how you will use your whole property (or at least the couple acres nearest your house in all directions) by creating a master plan. With smaller yards, essentially the pool planning/renderings
are the master plan because they cover the whole space. But for you, I can't tell you where I think the best place is if you don't tell me all of the things you currently do or will want to do in the future with your property. I see you have littles. They will become bigs and their play space needs can grow substantially. If you think they will enjoy baseball, football, basketball, soccer, etc., now is the time to also think about this in your master plan. I liken it to designing a house and deciding where to put the kitchen if you haven't decided what other rooms you will want or where they will be. Outdoor areas are rooms and should be connected to one another to provide a setting that flows. Sometimes rooms should not be open to one another. Having barriers that limit/obscure your view can encourage people to explore more on foot to see what is out there. Clearly trees are an important part of your lifestyle. As you get closer to the house/pool, shrubs and perennials will increase in importance and should also be a part of your master plan. The master plan part of your pool building process will play a big part in how you enjoy the rest of your days on your beautiful property. You only get once to place the pool.
Can you put your state in your Profile? I don't know where Sylvester is which is applicable to my next comment. In areas of the country where it is warmer, having the pool next to the house is a no-brainer in many cases. In areas where you only use the pool area for 3-6 months, sometimes folks like to have it in a separately fenced area. The main benefit of this is to have the less attractive closed pool out of the hustle and bustle area next to your house during the non-pool season. So your kids can roam unimpeded by the pool area all around the house perimeter. Also, dogs will not be tempted to go in the pool of their own free will if it's separately fenced. Of course dogs can be trained - but I do see comments about folks with dog loving pools and they have trouble keeping them dry. Our pool is separated and I am not tempted to pop back into the house to do small things when I'm by the pool. Having it closer can make it easy (too easy?) to interrupt your relaxation. Many will not share by "destination pool" bias. Pools by the house look great, and in fact
are great. But the above is just to present the other side of the story as well.
Below is a link to an overview of our pool and other yard improvements, if it provides you with anything you don't want to do all the better! But it gives you an idea of things to consider. The bottom of the yard (it all slopes down) is our play field. Although the front and close-up back section onto the court also can be used to play catch as well. Both our boys played baseball and the number of hours playing catch, and other sports/activities back there, were countless. Basketball is something that carries over into adulthood as far as a worthwhile backyard addition as well. You will enjoy seeing that time when your kids become better than you at sports (in my case it happened earlier than I expected).
Google Earth view Baltimore Pool Build
In my view it is no problem to have concrete over lines going from the house towards the septic tank (a cleanout or two along that section wouldn't hurt though). That's the same as the concrete in your basement over the same line. Though if they do need maintenance for some odd reason, don't come looking me up! Ours go under lots of pavers, a long concrete walkway/steps and a corner of the pool deck. I don't have any heartburn about it and I'm a pretty future/maintenance oriented person. But once you get near the tank, and of course after the tank are off limits. And don't put any trees like weeping willows within 50' (100' is better) from your septic tank or lines.
Enjoy the process and try not to get overwhelmed.