There are two basic types of twins:
1. Dichorionic/Diamnitoic Fraternal (non-identical) twins. These come from two eggs fertilized by two sperm. They implant seperately and have two placentas, though sometimes the placentas can "fuse" together if they are close enough to each other. Each baby has its own sac. These babies can be boy/boy, girl/girl, or boy/girl.
2. Identical twins, which come from one egg and one sperm. The fertilized egg splits (for an unknown reason) into two. This can lead to four types of identical twins:
A. Dichorionic/Diamniotic Identical twins. Sharing nothing except DNA - each baby has its own placenta and its own sac. It is impossible to tell the difference between these twins and fraternal twins, unless you end up with boy/girl twins, which are fraternal (except in VERY rare cases).
B. Monochorionic/Diamniotic Identical twins. Sharing a placenta with separate sacs.
C. Monochorionic/Monoamniotic Identical twins. These twins share both a placenta and a sac. This is extremely dangerous, as the babies' umbilical cords can become tangled during pregnancy, which can cause many problems (including death). With today's technology, most Mo/Mo twins are born healthy, but early - around 32-34 weeks. This is because the larger they grow, the riskier it is, and the more likely the cords are to become tangled or compressed.
D. Monochorionic/Monoamniotic Conjoined Identical twins. Also known as Siamese twins. These babies share one placenta, one sac, and some or most body parts.
Since you used IVF, your twins are fraternal, so yes - di/di
Congratulations, by the way! Wonderful thing you're doing
