Yes, this will hold cleaning supplies, most bottles will fit on the bottom shelf.
The cabinet needs to have an opening that is at least 15" wide. In most cases ths would be an 18" frameless cabinet or 18" face frame cabinet with a 1-1/2" face frame.
These will hold pots and pans.
Both shelves are rated at 25lbs each.
The unit is screwed into the floor of the cabinet.
The depth of both the upper and lower basket is 3-1/4".
The depth is 22.875 inches, the width is 15.44 inches and the height is 17.562 inches.
Both shelves are rated at 25lbs each.
The unit attaches to the base of the cabinet, so as long as the cabinet opening is as wide as the unit or wider you should be fine. There just needs to be enough clearance in the cabinet opening for the unit to slide through.
The top shelf of the unit slides over the half shelf. If you look at the picture of the unit, you will see that the top shelf support is at the front and mid-way back allowing for the shelf to go over the half shelf.