When applying any kind of latex, enamel or oil based paint, you have to strip or prime in order to get paint that will adhere.
It says you don't need to sand but I always like to sand and scuff up any slick surface so your bonding agent has something to grab on to. You don't have to go crazy but scuff it up enough so it looks like your surface met sand paper. :)
Give it a good coat of primer, let it dry and you can be on your way.
I'll show you a picture when I can get one, but just know you don't have to strip your furniture if you don't want to.
Glad to be back!
Have a good week.