I agree with 'the set' being a wrong tuen. Been there, done that, got cheated. For the same price, you can get 'a' knife, with more quality, than you would get ofr 'a set' at a comparable price.
I agree with 'a knife', either 6-, 7-, or it is not being too large in your eyes, an 8-inch blade. A lot of folks reach for the 8-inch, but find it unwieldy, or too much blade for your hand. A 7-inch Santoku knife is enough for a lof folks, even me. There are many knife manufacturers, known and obscure. I agree with 'a paring knife', like my mom used to peel apples, as an example. With those two, 'a knife', and 'a paring knife', there is a lot you can do, and there is a lot of room for personal interpretation, too, to 'make it your's'.
So many things to cook!