Bassinets are cozy, small and can be very handy with twins as they can be moved from one room to another. Some have a vibration feature trying to soothe babies to sleep. Some have a storage area at the base which can be used for diapers, undershirts, or toys. Since you will be needing two you may want to consider a Playard or Playpen with attachable bassinet.
We had 2 bassinets and one playpen. Since we lived in a small apartment when the twins arrived, we used the bassinet in our room and only at night time. During the day the twins shared a playpen in the living room. We moved to a house when they were 2 months old. At that time I switched the bassinets for cribs. So you just have to evaluate your living conditions to see which options suit you the best.
Finally a bassinet by Graco that is designed for twin. This is a great choice:
Sample of Choices:
Looks like this bassinet is not available anymore. However, it is so cute that I cannot bring myself to remove it!!! This Double Fantasy was actually designed for twins. It is very cute and can be very handy and useful. However, it is pricy.