When girls approach you and call you "hot" or something along those lines, what is the best response to say to show them you are interested in them and take this further ?

Also, what would be the best response if it was a group that acknowledged you and not just 1 girl, what do you say then ?

Im pretty new to PUA so any advice will be great

Peek something on her and say (for example her eyes)
say: "Thank you, I'm going to accept that because i know that a pretty looking eyes like yours can't lie, What's your name?"

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Gotta put da cream!

"Cool. Tell me 3 things about yourself that would make me want to get to know you from a hole in the wall."

Pretty much what was said above, the key is to act like you are qualifying her and you only have initial potential interest. The mistake AFC's make is they try to immediately return the compliment in hopes that it solidifies an understanding of interest and intent on both sides. You dont want this, by making her qualify herself, even if its phoney, it sets you up as much higher value then if you immediately give her approval which will actually lower her interest level.

As an aside this is also true when you approach a chick, you just have to go about it more subtlety and your odds are no where near as good as in this situation.

It's rare, but every now and then a HB10 will go up to average looking guys like me and telegraph interest. It's important to push her away or she will get bored. As Mystery says, most people think it's a guy's job to approach and a girl's job to reject; it's the man's job to do both.

Also, if you make it too easy for her, you can be put into what I call the "plan b zone." She will think to herself, "hm, this guy is cute and likes me a lot. I think this guy is a sure thing. But, I also have this coworker who I think is pretty cute. Maybe I should give him a chance first, and if it doesn't work out, I can go back to this fella."