I bought a hipseat from Hippychick - it meant I could carry both mine more easily when they were at this stage, so I could do the hoovering with them on my hip, for instance. Also, if I have to cook or somthing, I try to get them involved in a little game like 'bringing me a cup of tea' and then I ask for more and they go out to get it, etc.
I also put them in the highchair and give them crayons or stacking cups or little books or a carrot to 'chop' or whatever they like - they can see me and they are safe and I might get 2 minutes to chop veg myself!
Going to the loo is another one. I often had a wee with one on my lap, or else I put a few toys in the sink with the water running and let them play with that.
To be honest, I only ever shower when my husband is home or they are asleep. I want to relax in the shower, not just get clean.
I also utilise CBEEBIES when I really need to get dinner on or something...let's be honest, ladies, who doesn't? It works better now with my little girl than when my son was that age though - he wasn't interested in tv at all, unfortunately...
Anyway, hope this helps. I don't think letting them scream is the option anyone wants and I personally don't find that toughening them up works at all (I tried). I always try to find some other solution that keeps them happier but obviously sometimes there isn't much choice, is there...