another vote for muslin cloth loveys that you can have a zillion of. DS has used them since day 1 to snuggle, puke on, wipe his nose, anything and he attached early. I totally agree that the lovey can give a HUGE amount of comfort in the awake times. DS uses his when he has a fall or is frustrated, upset, ill, has to be away from me etc. If for eg he has a bad fall at home and is screaming in pain and shock I'll dash to him immediately but I know he will also need a muslin, either I'll try to get one whilst carrying him or call out to DP to run for one!
When he began nursery he took a small (quarter muslin) one in his pocket, which he still takes to school even now. It is amazingly powerful for him. I'm so glad he has that comfort and so glad we have heaps of them to wash.
Stuffed animals are nice and can still be loved and enjoyed even if they aren't 'the lovey'.