L.L.
As you've discovered, some babies are just like that. I remember when my son was born, the ped at the hospital said to me, "I've noticed that he cries when you put him down, stops when you pick him up. Some babies are like that. You'll want to get yourself a sling or something to carry him in." You can't change their personalities, you can only work around them. There's nothing wrong with her, she just needs physical closeness more than your son did. Get yourself a sling and learn how to use it. There are a lot of good resources for this. Google the term "baby wearing" and you'll learn a lot. It will not spoil her, on the contrary. It will probably help a great deal. And chances are, like my son, she's actually very inquisitive and independent. Wearing a baby will not delay walking either (mine walked at 9 months ooooh my).
My son is 4 now. He sleeps in his own bed, does things on his own, etc. I sometimes miss the early days. They are over so quickly. Just keep that in mind. This doesn't last forever.