Installation of floating floor?
Here is how you install a floating floor you have to start at the stairwell going down. When you have a interlocking stair nose that when locked to the floor will be the same height. If you had an overlapping step nose then you can start anywhere so that is your first thing to consider. Okay next you steps, glue them(or staple) down to each step. If you are also doing the risers you have to start with those before you do the step part of the step(remember nosing first then your planks.What are you using as an underlayment under the floating floor? This is important since you are creating a space between the subfloor and the bamboo you need a sound deadner. If you can get a product called quietwalk this is an excellent underlayment for your project.
Just make sure you don't create a tripping hazzard. Purchase a hardwood stair nosing to match your stair treads (Oak?). Then make sure that the nosing hangs past the stair riser the same as the others. It will probably be Thicker than the flooring but you can take it to a local cabinet shop and have them cut a rabbett ( an offset) in it . Good Luck
Call or go to the place where you bought the floor and ask if they have anything to use where the floating floor will meet the step. They might have a piece of molding or something made just for that situation.