I thought that wheely bins were medium or high density polyethylene ours certainly is. There are some industrIal adhesives around which can bond the stuff (e.g. Techbond, which bonds at a molecular level), but welding thickish HDPE takes a lot more heat than a soldering iron can deliver - think more in terms of an industrial hot air gun (e.g Steinel) with an appropriate welding rod
or of using something like a fusion welder. I used to machine the stuff at one time as a "side job" and I recall the weld temperature for 1000 grade HDPE was about 300 degrees C with MDPE and LDPE being a bit lower