You can get 19's on there, but I'd be prepared to roll fenders for anything over 17". 18's look good, but they're a bit too big for me. Also, I could be wrong but I think at 18" handling starts to be affected, although I'm not entirely clear on everything. Sorry I'm still sifting through initial stuff since, like you, I just got one myself.
Honestly people have their own opinions; mine is that 17" are ideal for E36's. I'd buy a set of 17's, wrap them in some good rubber, and lower the ride height at least an inch before I'd think about 18's.
... unless they were my brother's and I was "borrowing" them to use for some sort of event like a drift comp

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