if your baby liked to sleep in the swing, did you have a hard time transitioning him/her to a crib?

my baby is 2 months right now, and ive been mostly putting her in her swing for naps and night time, cuz she sleeps so peacefully in it, but is it gonna be hard to transition her to sleep in her crib? do they naturally outgrow it? or should i start putting her in her crib/bassinet now? Also did your baby sleep good on a flat surfaces, cuz mine as soon as i put her in the bassinet, she ll sleep for about 4 hours a night maybe, but just doesnt sleep so peacefully, she will be moving her hands all the time..
 
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