Theyre looking better already! Try to have a fan blowing lightly on them for a few hours a day, thattl strengthen the stems a lot (or just blow on them lightly yourself)
Another thing - try not to use tap water if you can, use bottled water instead or filter the tapwater using one of those Brita water filters. Failing that, use rainwater - Fiona loves it! (remember to let it warm to room temperature, cold water can shock the roots)