What she means when she asks, "What do you think of this shirt?"

You've only got one of two options here if she's asking you about her apparel. Either she feels damn sexy in that shirt, those shorts or whatever else it is she's wearing, and she wants you to confirm how good she feels. Or she's not sure if what she is wearing is worth the discomfort of wearing it.

Either way, you're answer should be, "Meow!" (and then make a genuine compliment)

Absolutely, whatever you do, DO NOT say, "You look good in anything babe," or any other cliche's of that nature. You'd be better to offer her a shirt you would like her to wear, then to use a tired cliche.

When she says..... "Let me know when you'll be home...."

No guys, the woman who says this, is NOT trying to keep your tether too tight. No, when she asks you to give her a ring, send her a text or in some other way give her notice that you're going to be heading home, what she is really trying to tell you is one of two things:

Translation A: "I'm in 'the mood', and I want to change into something more comfortable before you get home..."

Translation B: "I have something planned for you when you get home, and you'll like it."

Either way, you'll be in for a good treat when you get home, IF and I emphasis that "IF", you don't blow it by assuming she just wants to keep tabs on you, ruin your evening or just not answer her call or message. If you do any of those, you're going to turn 'the mood' into a 'that mood', and no one wants that, now do they?