I second the video or at least a few good pictures. There is a big difference between 8 weeks old and 12 weeks old. Quakers are prone to splay legs. If its approaching 8 weeks old and not walking right then you need a vet check. Its been a few years since I raised quakers but it seems like they are usually flying which also means walking pretty well by 8 weeks and probably closer to 6 weeks. By 12 weeks most are weaned and very well coordinated. If the baby is fully feathered, then you can handle it. Since your bird is still weaning, I would be doing a couple half hour play and cuddle times ever day and a quick scratch or cuddle as you walk by the cage a few times a day. Babies that are weaning should also spend that time learning how to eat without having a person staring at them or even being in the same room all the time and learning to independently play with toys. Its all about balance with babies. They need snuggles and reassurance and love, but they need to have space to follow their instincts and grow up too.
Regarding the walking, when in doubt, go to the vet. Its always good policy to take a new bird to the vet withing 3 days of bringing it home anyway.