Although I haven't heard about any long term effects of the drugs, it's always worth doing a bit of research on the area. I know people who have been taking SSRIs for many years and they've told me they haven't had any.
It's definitely a good idea to speak to your psych though as they will know best. If they're a good one they'll give you the pros and cons of both. Mine didn't tell me about the immediate side effects to start!
Hope it goes well ☺