I'm in Houston and looking for tall privacy options to plant along the fence near the pool (6 ft away) - would love Eagleston Hollies, but my husband is concerned about the berries dropping and potentially staining the pool - have you experienced that?
I don't know anything about plants. But I do know this, they make a huge difference. I've read many posts over the years about the trouble pool owners have with their landscaping. My neighbors with pools are constantly complaining, too. I feel a bit guilty bragging about it, but the landscaper the previous owners of my house used was a genius, and has made my pool maintenance chores a breeze. Except for a few weeks a year, my weekly haul in my skimmer basket is about 1/2" deep, and the basket in my pump is less than that! (I have a suction-side vac that sends everything on the bottom to the pump basket.) Many weeks there is almost nothing in either basket. It really is remarkable, and it's all due to plant selection.
I have a lot of evergreens, which do drop some, but all straight down. None of it gets into the pool. I do have a few messy trees, and windy days, so that accounts for the little that does make it to the pool, but it is so little that I just can't complain. And my skimmer and vac take care of the organic load very handily. My pool is virtually always super clean.
I highly recommend you contact and hire a qualified landscape architect. Interview a few. Satisfy yourself that they are thoroughly familiar with local plants, and ideally have designed for yards with pools. The money you spend on that now will pay dividends for decades. Even if it's a short-ish consultation to help with the selection of a few plants.
If budget doesn't allow for that, poll employees, managers and/or owners of local nurseries until you find one that is (1) willing to help you in depth, and (2) knows what they are talking about. I found my plant guru at Lowes, of all places. She's amazing. I've even hired her privately to come to my yard and give me instructions, or drive to a nursery to help me pick out plants. For $30/hr she makes more than she does at Lowes, and I get a steal. So between the original landscaper work and her guidance, I never put a plant in my yard without knowing it's not going to get into my pool.
I'm not saying you shouldn't seek advice here, but you need to find someone that knows your particular location and climate, that can recommend specific plants that will work where you live, and around a pool. It'll be worth the effort.