Curly, we cut baby's nails when she's asleep. We've had to do it a couple of times as although she doesn't scratch herself, she hurts me when she's feeding.
I think we have a teething baby here too! She's been chewing her fingers and seems quite agitated at times (she's normally a very happy baby). We can see what looks like a tooth that might be about to come through, but it's hard to get a proper look. She's also refusing to take a bottle (my husband used to give her one at night to give me a break) - I think she wants to feed from me for comfort. I've bought some Nelson's gel as it's supposed to be good, but as you can't use that till 3mths I've also bought Dentiniox gel.
We're getting 5-6 hrs of sleep in one stretch at night which is great (we have done for a few weeks), but I'm going to look into the easy routine as even longer would be amazing!
We've started to take baby swimming. So far we've just gone to the local children's pool ourselves, but we're thinking of signing up for water babies.
DD's favourite toy by far is her crib mobile - one by tiny love with animals on it. It's not a toy as such, but keeps her more entertained than any of her other toys. She watches it for ages, laughing and smiling and 'talking' to the animals, as well as waving her arms and legs around! We don't use it to get her to sleep - she loves Ewan the sheep at night time - but it keeps her entertained if I need to do things during the day (she isn't happy just sitting in her bouncer or chair). She also likes her rainforest gym, a Lamaze dog (she smiles and laughs just looking at this!) and firefly, and the seahorse that plays music. She has lots of toys but is still a bit too young to be interested in some of them.