This is pretty normal.
If you can relax and enjoy it, the phase will pass and when you see them bouncing off to middle school w/out, you are going to wish you had let them cozy up and sleep with you.
Remember that human beings are cuddly and affectionate when they feel loved and loving. Lot's of affection helps w/development and stress reduction. It is also good for you.
They are bonding and reminding themselves that they are connected.
Slow down and enjoy it, resisting it or thinking there is a problem won't do any good.
If you are looking for a solid nights sleep, make sure you give them lot's of undivided attention in the evening when you are home, connecting makes them feel more secure and safe, remember that you are their source of love, food, security, they will learn to self comfort as they get older, it is something they will seek, for right now a little patience and lot's of affection is good for everyone's health.
Also, remember what you resist persist. So if you are pushing back you will get more of the same.
Relax and cuddle, once you relax about it, start to move them gently and encourage them to be self sufficient - don't think that they are a problem to be solved. This is pretty normal.
If you move them gently to their own beds, then do make sure that you are not expressing negative emotion toward their desire to be close. It's not good for any of you.
Best,
N.