5 week old kittens are not ready to be weaned yet. Kittens will continue to nurse until they are at least 7-8 weeks old and should not be given away until they are 10-12 weeks old. My 5 week olds are eating canned food because they see their momma eating it. They do still though nurse on her. It just takes time.
I don't attempt solid foods till the kittens are 6-7 weeks old - too frustrating to try earlier if mom is nursing them well.
And I start trimming the front nails on kittens at 4-5 weeks old for mom's benefit
Just lay the kitten flat on its tummy and very carefully nip the tip - not any further on the front nails. I'm used to trimming nails and have no problems, but its a little more tricky with tiny kittens.