Anything Else I Need To Do/Know?

Nothing specific about the kind of hamster, all those black bear/panda bear/teddy bear things are just labels pet shops use depending on the color of the hamster, a Syrian is a Syrian. If your hamster is long haired (some are) then make sure you buy some small animal cleaning wipes and a little brush for them too, they'll need daily brushing (an unused, soft toothbrush would work fine). Just be aware that although Syrian's are one of the easiest breeds to tame, you should still let her be for a few days before handling, they're really quick to develop stress related illnesses, so make sure you take it slow. Asides from that you probably know how to look after her, change the water daily, the food every 2 days, let her play and exercise with you twice a day, half an hour at a time max, start using a hamster ball once she's happy with you, offer some fresh apple/cold cooked chicken/meal worm/scrambled egg once or twice a week as a treat and clean the cage with pet safe disinfectant one a week. If you can explain that you know all this to your mum, and volunteer to pay for it, and do all the cleaning yourself, even if you don't have to, then I don't see why she'd be bothered. If you can't pay then I suggest offering to pay by doing chores for your mum. Clearly she hasn't got anything against hamsters 'cos you've had one before. So you should be okay.