I personally stink at growing submerged plants, so I have turned to using
plastic plants underwater and floating plants and hydroponic houseplants above it. Floating plants - in theory - pretty much take care of themselves so long as (A) there is enough light, (B) the water isn't being agitated too much, and (C) the water is not too soft. With that being said, though, the only floating plants I consistently succeed with inside are
water sprite,
duckweed, and
salvinia (
water lettuce does great for me in my water gardens but is hit or miss indoors; I have not attempted
water hyacinth indoors because of its size, but that plant has a reputation for doing badly indoors. Pity...).
Hydroponic houseplants require a little prep work, but after that are arguably even easier than floating plants; remove as much dirt/potting mix from the roots as you can, rinse the plant to remove any possible pesticides, then place the roots into the tank water and find some way to keep the plant there (a custom twin wall polycarbonate lid with holes for the plants, water proof spring clamps, plastic suction cup soap dishes...). For hydroponic houseplants your primary concern is providing enough light, which can easily be done with
aquarium lights held above the tank or even BR-30 or 40 or
PAR LED light bulbs situated above the plant with work lights(I'd stick to BR bulbs unless you are growing very light demanding plants, as PAR bulbs are quite focused and can easily burn lower light plants.). Three of my tanks use a custom wooden light stand with LED lights zip tied to it; it would not be hard to build such a stand or to have a friend build it, as it only requires a few pieces of 2 by 4's and doesn't need to hold a lot of weight. Soft water may hinder hydroponic houseplants but seldom causes them to fail outright in my experience. I've rarely had a hydroponic houseplant fail, the only exception being a thanksgiving cactus that literally fell apart when I tried growing it hydroponically (it was not in an aquarium but was rooted in a pot of leca with nutrient solution in a drainage tray at the bottom...with that said, though, you may want to be very cautious attempting to grow succulents hydroponically).
Of note is that terrestrial plants (houseplants!) and aquatic plants have differences in nutrient uptake preferences. Most aquatic plants prefer
ammonia as their nitrogen source and will compete with the nitrifying bacteria/archaea for it if there is even a smidgen in the aquarium, often resulting in the aquatic plants ignoring the
nitrates building up in the tank; most terrestrial plants, by contrast, prefer nitrate, which may make them a better choice for tanks that rely heavily on microbial filtration. Also, terrestrial and floating plants have access to far more CO2 than submerged plants and tend to grow considerably faster as a result (floating plants in particular can grow obscenely fast).