For a judo perspective on falling technique (ukemi), the best place to start is the formal throwing techniques (nage-no-kata), where the most emphasis is placed on falling details.
For forward rolling falls (zempo kaiten), there are two basic possibilities:
- You cannot roll and stand up, as in the nage-no-kata fall for tsurikomi goshi. You may be restricted by the the direction of the throw, your partner holding on to you, or maybe you just don't feel like you have sufficient momentum to come up.
- You can roll and stand up, as in the nage-no-kata fall for tomoe nage.
When falling, you apply the same training to both situations; even when coming to your feet, you transition through the breakfall position first.
Both legs should be bent in the breakfall position. When the bottom leg is straight, there is more danger of straining/spraining the knee joint, which I have personally done before.
By tucking in jujitsu/aikido, I assume you mean something like this. This is discouraged in judo because it results in the legs crossing. When the legs cross and you cannot roll to stand up, you have the danger of your legs striking each other. This may not be an issue if throws primarily project you outwards and you can roll to your feet. In judo, you often cannot roll out of falls.