£100 doesn’t get you very far these days, I’m afraid. However, it’s hard to go wrong with a Yamaha, as they don’t make a bad instrument at any price point, IMO. But a quick look on the Guitar Guitar website reveals that their cheapest Yamaha classical (nylon strung) is £115. If at all possible, it’d probably best to go to a guitar shop and see what they have/recommend, they may have some 2nd guitars that fit your budget. Given that you have a background with violin and ukulele, a nylon strung classical guitar might be a more comfortable entry into guitar, it would certainly lend itself to classical and jazzy pieces and is more than ok strummed too. However, it is a very mellow sound and will not reproduce the zinging highs of a steel strung guitar.