1.The trait is recessive. This means both your parents were carries, but did not show the trait. For example, B represents the allele, you're parents would have to both be Bb. This means that they are carriers, and you could have inherited either BB/Bb/bb - you actually inherited bb, which means because its a recessive trait you will show the trait.
2. For your children, it depends on who you have them with. Because you're bb, you will definitely pass on the b allele, so any child you have would be a carrier and could potentially have the trait. If you have a child with someone BB, all your offspring will be Bb (carriers- as the kid gets one allele form each parent). If you have a child with someone who is bb, all your kids would definitely have the trait. However, if you have a child with someone who as Bb, then the four outcomes are Bb Bb bb bb, so there would be a 50% chance of your kid having the trait.
From what i know, the feet of an animal should always be on the table. This is due to the fact that aside from health reason's, the animal usually feels more comfortable not on it's back.