I'm opposite of the others. I like the south (old belz) mall much better. It has a number of different stores that the north mall doesn't. The north mall contains most of the regular outlet stores that many of the mainland and hawaii outlet malls have so not as interesting for me.
I'm a guy so not into the chain stores that the north mall has. In addition, now that it's summer it is freaking hot and the north mall isn't enclosed so you have to walk in the heat to each store. I visit the north premium mall but I hardly buy anything there.
I like the south mall because it is enclosed, more eateries and vendors (dunkin donuts too) on the mall area. there is a kiosk vendor that used to have a store in the mall, he sells mens stuff like belts, wallets, and money clips and other stuff. There is a Mickey store in the annex that sells marked down disney stuff plus they sell some neat t shirts (bank of dad using the bank of america logo, "US Male" with the PO eagle holding a mug of beer, and other shirts with parodies of some stores like best buy...."broke guy"). While the north mall also has a disney store outlet the prices there don't seem as marked down as the one at the south mall and they seem to be more for the kiddies so not a big selection for adults.
Hate to say but they (the south mall) also seems to have higher store turnover than the north mall so they have specials on store closings and new store openings. The south mall also will send coupons and incentives if you provide your email. One note, both malls have a discount tuesday for seniors that are 50 and older.
Along LVB the south mall also has a lot of restaurants (not part of the mall), like outback (I think), panda, etc. so after visiting the mall you can stop off and eat at a restaurant before going back home.
I guess it depends on what store you visit, if you like the general generic stores like Nike, Puma, Adidas, Reebok, Polo, Coach, CK, AX, etc. then the north mall is for you.
you can take the bus to the south mall but I think you have to transfer buses to get there. The north mall is more convenient, there are regular shuttles from downtown to the mall (pick up on main street in front of the cal). Not sure about shuttles from the strip.