Algae is discouraged by having things that eat it (eg. snails and daphnia), by removing the nutrients from the water, and by acidifying the water sufficiently. Darkness will also inhibit it, but the utric won't do so well then (though it won't die in shade). What you want are some companion plants which extract the nutrients, some decomposing material releasing CO2 and other acids, acdifying the water, and a healthy microfauna going on. This all ought to work in equilibrium and prevent algae getting a hold (though there will always be a little bit in a healthy system, but never at a level to be a worry). I prefer to set up a tank in advance and leave it a week or so to try to stabilise before I add the aquatic plants.
As for removing the algae you already have. Chuck all the water away. Boil new water with peat, strain it, and use that as a replacement. Wash the plants before replacing in the tank.
Layer the peat underneath sharp sand. Pour the water in very gently. You will stir up a little stuff. It will probably take a couple of days for the water to clear up again, and then you can add the plants.