I think, intermediates are isolable and transition states are not independent structures.
While drawing transition states, you use dotted lines, whereas intermediates have all lines concrete. It's either a carbocation, or a carbanion, or a free radical. Transition states only have partial charges, and it shows making and breaking of bonds. It's cannot be separated from the system.
In energy diagrams, the transition states are the peaks and the intermediates are the vales (where the compound can "rest"). If a transition state is more stable, it means that its activation energy is less and it can occur at a faster rate compared to another one having a higher activation energy.
I am sorry that I don't know anything beyond this, and will be glad if someone rectifies the errors in this post.