YES. Depending on the depth of the pool the excavator will need a lot of space to get the hole dug. There will be a lot of dirt to be removed from you yard, trucks to remove the dirt, concrete trucks to bring in the concrete. ie much large vehicle activity.

While they may be able to avoid the trees, they will cause a lot of problems to the construction effort.

If the can be avoided their root system will be damaged possibly killing the trees.

Before you do any more you need to talk to a contractor and get and estimate for the pool. In this way you can find out if the pool can be constructed in the area you placed it in your computer. While you don't have to proceed with the pool at this time, you will have an idea if your plan is realistic, considering the space and soil types.

Speaking from my experience I would hold off on planting trees. I had a pool installed at my former home 3 years after the home was built, it looked like a bomb had been detonated in my yard during the construction of the pool.

I agree with K Laurence. I often use the similar phrase mentioned about a bomb going off in the backyard to my clients. War zone, missile testing site, etc...

The proposed plants/plant bed are too close in proximity to the pool to move freely. The excavated and disturbed area always goes beyond the pool itself. Room is needed for heavy equipment and the like. Grades may change that will impact plant bed heights.

If you did decide to plant prior to the build, plants would have to temporarily transplant and then replant.

Your lawn will get torn up from the access point in the front the house all the way to dig area. If your driveway is part of the access, and it's in good shape, ask the PB to put down protective mats or plywood.

If your driveway is in poor condition, don't replace it until all activity is completed.

Pretend that instead of inserting a pool in your backyard, a nextdoor neighbor is building a new house in your back yard, starting with digging a gigantic new foundation. That is essentially what is happening. Can you imagine instructing a crew of comstruction workers to not disturb and work around your plantings? It is never going to happen. Their priority is to dig this foundation. It will not be a delicate process.

Consider raised beds on the perimeter..this will avoid roots causing damage to the pool..and allow smaller plants with smaller root systems…bamboo works well in these contained areas and some varieties grow very tall..IMO …big trees could be a big mistake on this size lot..

Another problem could develop if your big trees …on the property line ….send big roots into the neighbors yard…which would definitely need to be removed when/if they decide to install border plantings

Don't waste money on landscaping if you are going to install a pool.

We built our pool while building our house and the pool construction just adds a whole other layer of construction mess, affecting access to the area, electrical and plumbing.