Scotland has solicitors and advocates - although some solicitors can also appear in the higher courts (Court of Session for civil matters and the High Court for criminal).
Just after I wrote that, I thought "I'm pretty sure Scotland has advocates, maybe I should update my comment."
Solicitors can in many cases appear in higher courts in England too these days, after the Courts and Legal Services Act 1990.
Solicitors can also appear in the Supreme Court of the United Kingdom for civil matters (the Supreme Court has no jurisdiction for criminal matters in Scotland and therefore under Scots law).