At last started (and then finished a few hours later) the baby ring sling. I had bought a special hemming foot for my machine, but found out that it didn't fit. After a short sulk, I came back all the more determined and did the hemming by hand. Dead easy, so easy in fact that it seems a bit pointless to exchange the foot for the right one.
The pleating was pretty tricky, mainly because the material I chose is very thick. Two machine needles later though and it's all fine and dandy. Tried it out with Monkey (the Chihuahua) and an Elmo toy (less wriggly), and H and I have declared it a success.
I'll definitely be making another one in a lighter fabric. And I'll post some pictures tonight.