Startle reflex

Ugh...(firmly tugs at hair). So my LO is 2 months and I've decided it's getting to be time to start transitioning her to her crib. She currently sleeps in her pack and play in our room but, she sleeps in the infant sleeper thingy that attaches to the infant sleeping portion of it. Today I tried yet again to see if she would sleep in her crib in her room and she wasn't having it but, she did sleep for a half hour. I tried in her pack n play by laying her in the actual sleeping portion of it and between her yanking her Binkie out and her startle reflex I'm about to loose it. I bought her one of those woombie things and that works great except that she runs warm and ends up getting too hot...I feel like I can't win and she will be sleeping in our room forever. We have alot going on in the next couple months where she will need to spend the night at the grandparents and I just want to make it kind of easy for them as well as our LO. Any help would be so appreciated:)