My welding:

The two pieces held together by a length of old inner-tube:


The first weld, done where the parts were held tightly onto each other:



The second weld, on the other side of the basket. Here there was a ~1.5mm gap which was really hard to fill without blowing holes in the end of the tubes. I eventually got it joined, though:


They are possibly the least attractive welds ever laid down, but I don't mind about that. It's been raining all day today so I haven't done any more yet. Now that those two welds are on it should be much easier to reinforce them, and do the other welds as well.