Crib at 3 months?

My baby will be three months this Saturday. I know the aap recommends for them not to sleep in there room until 6 months to a year but due to lack of sleep and her not sleeping as well I decided to move her into her crib. She actually seemed to sleep better last night and for longer hours in her own room. At the same time, as a first time mom I worry about everything namely sids. Am I making the wrong decision letting her sleep in her crib in her room this young?? When she wS with us we heard her noises and she woke from our movements. Now she’ll be in a Deeper sleep and I think that’s why they say to prevent sids to keep them with you. For my sanity I need sleep, but I also want her to be safe In the process. Not sure what to do...