Welcome to the forum Allie and you'll find Brisbane public transport reasonable enough, based primarily on trains and buses and ferry services on the Brisbane river.
A look at
Trading Post - Buying and Selling Goods Online Australia wide will give you an idea on prices of secondhand bikes and cars and also a few categories there re hobbies, life style, sports etc., and about the only major thing missing from Brisbane region is snow sports or ice skating, though could be some indoor ones and there's IceWorld down on the Gold Coast if it is still in business.
Fashions;, being a generally warmer humid climate, fashion is always of a lighter summery look, wonderful colours with minimal heavy clobber of darker colours as Winters are mild and short, but still that kind of stuff available for prople wanting it and in use for business wear etc.
A lot of people spend their daytime iesuretime in shorts, tees, beach wear etc., and nightlife apparrel is fairly casual, much as you'll find in most cities about the globe I expect these days.
Re your designs on motorbike use, Brisbane has just had a major storm of cyclone size/strength and plenty of rain and that is not all that unusual if we get back to normal wet seasons and Brisbane having a summer storm season from about November through to April - doesn't always make great conditions for riding motorbikes!
You've managed to get a visa organised have you?
If so, good on you and good luck with the move.