For both nap time and nighth time, I recommend that you sit in a chair next to her crib and read her a story. Since she is used to cuddling with you, this will be a hard transition to make. But, it will eventually work - if you are persistent with it. You may want to start just with the nap time and try to get consistent there. Also, something to consider is a big girl bed. If you have room, put one in her room and lie on it, next to her, for nap time. Read a story and when she drifts off to sleep, you can escape from the big girl bed yourself.
Oh..and I just read the other answers. They are right, in that you are potentially in for a big battle. My son was an easier sleeper and I never had to battle him. But, my daughter gave it a good fight (in that she woke up often as a baby at night). With her, I finally just had to put ear plugs in when she was about 15 months old and let her cry it out. I know that is not for some parents, but I was exhausted and I just refused to go in and help a child that age go back to sleep. So, a real plan of action to help with your daughter is to:
1. Start with the nap, as I recommended in my original statement. Read a story near her (not with her on your lap) and encourage her to lie down. You may want to plan on reading for quite a while the first few times because she will NOT be happy with this change of plans.
2. She might become accustomed to this routine and start going to sleep. However, if she does not, you may have to get aggressive with the program. I saw "The Nanny" once say that you start out with this type of training program by being next to them and then gradually moving the chair farther and farther away from them (like right next to them for a week, one foot away for a week, two feet away for a week, etc), so that they get used to you being further and further away and they get used to going to sleep on their own but with the comfort of knowing you are nearby.
3. I sleep trained my son when he was very young (4 months). At first, I patted him on the back in his crib and he cried. Then, I stood by the crib and talked to him while he went to sleep (I did not touch him at all). Then, I moved over to the door and stood there the whole time he was going to sleep. But, he was only 4 months old and so he transitioned to the new routine quite readily. As I mentioned to you earlier, that did NOT work with my daughter and I finally had to let her cry it out. She cried for hours for two nights and then after that she did not cry again.
4. The key to ALL of this is consistency. Once you start a program, you absolutely have to be committed to it. If you start out today by reading a story to her while she is in the crib and she cries and pleads with you and you then pick her up and rock her, you just lost the battle and you WILL be set back for weeks. So, if you really want time to yourself, you have to be willing to commit and fight a battle. YOU have to draw the line and be committed. If you are not committed, then don't even bother - you will confuse her and you will lose.
Also, the key to all of this is talking constantly and soothingly to them. You need to explain that it is time that she goes to sleep by herself, etc. I find that they really understand a lot more than you realize. Of course, she will say, "no, no, no, no, no...." to the game change plan.
Good luck!
L.