Any poodle mix is likely a smart dog. I've pretty much always had poodles or a variation of poodle mix until I got my Pomeranian, Phin. I love him and other than fur everywhere he is a great dog.
I'd advice you to forget the puppy pads and instead do like you're doing by taking it out often. My mil decided to use the pads and the dogs figured going in the house is acceptable. Even though the dogs are like almost 5 and 9, they still go wherever. Puppy pads can get expensive fast. Since its a poodle terrier mix, it's going to need exercise to keep it's mind active anyway, so walking it is the best way to house train it.
Take her out right after she eats or drinks and go to the same place each time. I use the command "Hurry up" and then when he goes I praise him like crazy. You may want a different command though because I discover I say hurry up more than I realized.
Something like Go potty might work.
You have been blessed with a wonderful breed. My Abbey, who died at 18, was a poodle terrier. She looked so funny because it looked like someone took the front part of a poodle and the back part of a wired-hair terrier and stuck them together. She had curly poodle fur in the front and poodle ears, but coarse wirey hair and a terrier tale in the back. She was smart though and was housebroken in under a week, with only an occasional accident.
Same thing with Phin. I would crate him at night and then take him out first thing. He loved the crate too. I think it was like a cave. In under a year, I didn't even need the crate though he still went in until he got too big. On the other hand, my mil has to crate her dogs still.