I agree with the above response. Scuff sand the furniture with a very heavy grit sandpaper (probably closer to 100). You don't need to remove all of the old clear coat, just scuff it. Removing it will be a nightmare and the primer you will be using will help with adhesion. Use an adhesion primer. Home depot sells Gripper, Sherwin williams sells adhesion primer. This type of primer will stick to any glossy surfaces, including glass and will help your paint stick. Finish with two coats of latex based paint. You can use a higher durability paint to reduce nicks and scratches over time(Trim Enamel) - Ben Moore sells Advance, and Impervo (oil based). Sherwin williams sells Pro Classic and Trim Enamel. I think Home depot has this new glidden paint for doors and trim. It is not necessary to use trim enamel, but will last longer and not need to be clear coated/sealed. If you use regular latex paint as a finish, you may want to add a clear latex sealer to strengthen the top coat. You would actually save time and money by just using a trim enamel and doing two coats.