The dependancy is something you have to teach them or you will never get a good nights sleep. The best way is to start during the day time and by putting their bed in their own room. Make it a big boy thing. Mommy has now got to turn her babies into big boys. It is hard to let go of our apron strings but it is time to do it sooner or later and this is the best time to show them how much you really love them.
Start putting them down for naps in their rooms in their beds and if you have to lay with them until they doze off then sneak out of the bed. Let them wake up in their room alone and see how nice it is to have their own room to wake in and to play in when they do wake up. Their room is their castle, their domain. The place they keep their special items, their clothing and toys. Not in moomy's room and this is what you need to stay to stress to them gently. When they bring things to your room have them take them back to their room like big boys and reward them with hugs. That is mommy's big boys. It is all about training them what is big boy jobs.
Helping mommy with cleaning their room. Putting their toys up in their room. Their blankets in their room. Identifying things for them to see what is yours and what is theirs. It will take time and maybe a little crying but you will be putting them in their beds and having them stay their before it is over with.