Cool, I hope you like it!
--Resistance has some pretty cool guns and nice online. If you're burned out on shooters, I'd say skip it. I have to agree with DMeisterJ that after COD4, it feels outdated.
--Uncharted is amazing. There are a few swears in the dialogue, but definitely not at the Quentin Tarantino level. Most people don't even remember the few swears. If your apprehensive about your daughter's exposure to that stuff, I suggest giving the games a spin yourself before letting her play. Overall, I'd let a kid play that one.
--Heavenly Sword- Great game with some annoyances. I loved it. The story is solid and the character, Nariko, is strong. I don't like that Nariko can't jump, but this isn't a platformer, so it's not really necessary. Also features a strong, cute, playable supporting character who's scenarios are a blast with the Sixaxis.
--Lair isn't horrible. I had fun with it. They did patch the controls, but the Sixaxis wasn't really the issue. It's that the dragon was so hard to steer. More realistic, yeah(we are talking about 2 ton beasts here, not surprising they can't turn on a dime) but a pain, nonetheless. Buy it cheap, if possible, or rent it.
Also, Uncharted, Heavenly Sword, and Ratchet have downloadable demos on PSN, so definitely try those out. And a word of advice in regards to Singstar: Don't let you daughter view the online submissions without you in the room. As with all online communities, some of them can get.....mature.
Have fun!