1. First, you need to "sand out" the current finish.
2. Buy some good veneer. You can get some cheap but good looking from Ebay.
3. Glue veneer to cabinet.
4. Use either lacquer or shellac for finish.
Of course it's not that simple but let me know if you want to follow the "do it yourself" path. You don't have to invest on much equipment. I am into diy speaker so have done finish on three pairs of speakers myself.