I love Hyde Park! I really miss it now I'm back with my parents for the summer. Its complete student central: the only people you'll ever see are students (although not too annoying students, and the odd asian family. The reputation for bad crime that you've heard about is literally just houses being broken into. It does happen, but 8/10 times its because someone has left their window open or not locked the door. Just be smart and you'll be fine. I have never felt even slightly unsafe walking around.
Your wrong that it doesnt have many amenities.
Bars: Hyde Park Pub, Royal Park Pub, Hyde Park Social Club, Brudenell Social Club, Hookas..
Food: LS6, Cafetiere, L'Oranaise, like 4 chip/kebab shops, Seven Spices, that Morrocan on Hyde Park Road, Popinas, that sandwich place..
Shops: Sainsburys Local, One Stop, Co-Op (serves alcohol 24hrs!), two international supermarkets, a DIY shop, a couple of vintage shops and gift shops, etc etc.
All of which will be within 10-15 minutes (but more likely 5 minutes). Then you've got the park right next to you, which is so lovely to walk through every day and amazing in the summer when everyone just gathers there. House parties all the time (which are often a better night out than clubbing in town). The Hyde Park Picture House (a really cool old cinema). Virtually everyone you know will live just a few minutes away (seriously, about 90% of people I know live in Hyde Park lol). But then you can walk to Headingley in 15 minutes, uni in 10 minutes, town in 25 minutes - so you dont exactly live in a bubble. Aw man its just great, I want to go back now!