Well, they don't have any websites like RealSelf since it's a relatively small country and you can get all the necessary information through word of mouth. Most people prefer old-school forums, ana.rs (as in Anna, not anorexia) is the biggest women's forum in the country and if you speak the language you'll have no trouble asking around for recs. People aren't allowed to post names of ps clinics there but they often give clues as to whom they're talking about and you can google it easily. You can pm the members there for pics.
Prices for rhinoplasty are in the €1500-3500 ballpark and there's a magazine with a website (Estetika, iirc) where they publish the most popular surgeons' profiles. I've been told that the two women surgeons and Ribnikar (the one that looks like an old Roman soldier) are good for nose jobs.
The country is safe as long as you don't go gallivanting out in the boonies, most people in the capital party until as late as 4AM and it's okay to walk around by yourself at night as long as you don't go crawling around random alleys and stuff. Bydlos/chavs there can be loud and annoying but are usually harmless. Lots of pickpocketing gypsies (it is the Balkans, after all), but they're easy to spot and avoid. Public transport is okay but packed full 24/7, especially on major routes.
Try the local food and visit a national park or stay in an ethno-village for a while, it's a really pretty country however fucked up politically. Local staff in the city won't be too friendly, but they're chronically overworked and underpaid so it's nothing personal. Still, most people are nicer than they look ime.
I'm going there for a nj in May, so I can let you know how it went.