No, children under 16 will continue to claim DLA in the way that they do now. At age 16, however, they will have to put in a claim for PIP instead.
In Scotland it is proposed that this age limit will be changed from 16 to 18.
The DWP will write to children in receipt of DLA when they are approaching their 16th birthday to explain about claiming PIP. Shortly after your child turns 16, the DWP will write to them inviting them to claim PIP. It is very important to make the claim by the date given in the letter so that DLA can continue until the PIP claim is decided.