I have lots of fine lines around my upper lip and lower. I heard Restylane will not get rid of them but make them a bit better.

Some fillers are better at this than others. Fillers offer a non-surgical option and Restylane Silk and Belotero can create an improvement, but not "get rid of them" altogether. You might consider skin resurfacing with lasers, chemical peels, and/or microneedling.Best wishes, Dr. AlDO 

Thank you for your question. It is difficult to give you advice with seeing a photo or examining you in person. However, there are many options to treat this area such as Botox and dermal fillers. I recommend having a consultation with an expert injector to determine the best treatment plan for you. Best of Luck!