How cheap/easy is it to re-veneer small furniture? Like a little night stand?

Because I just bought 90% of the furniture for my new apartment and the avg cost of each piece was about the same as a 6 pack of decent beer. That being said there is veneer to be fixed and vinyl to be sewed! Not because I ā€œneedā€ to, but just because. All those little things add up and make your place look like a dump. But if you fix a bunch of small easy stuff, then you look like a sophisticated, cultured, and discerning young adult.

Just kidding itā€™s just something Iā€™ll work on when Iā€™m bored.

Edit: Forgot to add. Can you paint veneer or no? If so, is there a particular type of paint you should use?