Renekton is a rather poor jungler honestly; he's more of a top laner. That aside, Rengar is a good solid champ to learn. Shyvana is kinda strong with the devourer enchantment on the jg item. All the champs you listed are fairly good at jungling, aside from Ren.
What's your play style tho? I myself play alot of jungle Diana. I'm more of a 'farm-up' sort of player, in that I'll stay in my jungle mostly for levels 1-6 and then make ganks. There's also junglers who like to gank early a lot or counter jungle heavily. It really depends on your play style and what you want to do in the jungle imo. I'm only Gold 4, so I might not be as knowledgeable as other people, so I'd say look at what your strengths are and choose a champ that best fits you.
My one big tip that I have is ward up and always carry 1 pink with you so that you can sneak a dragon in. I've found that in high silver/low-mid gold, people tend to not pay attention to drag until maybe, 15-20mins in. With Diana, I tend to rush it around lvl 5-6. Make sure you ward the inside of the pit with the pink and the outside with trinkets so you know if an enemy is coming or not. You also have to make sure your laners are on the same page as you, so if bot lane is pushed up, ping them to either watch their bot or to come and help you. Same for mid. In general, do your best to constantly keep an eye out for opportunities to get objectives like Baron/dragon. If its 25-30+ mins, and the jungler shows their face at bot and you know that your team has the man-power, take Baron or make calls to push.