Undergrad (bachelors) matter for quant?

Hello, sorry if this sounds stupid, but say if I wanted to do a bachelor's at NYU for something like math, and then hopefully do my masters at like MIT or CMU, would that be fine? Or should I focus on getting into CMU now? I'm debating whether or not to apply to NYU or CMU early decision (I'd have a MUCH HIGHER chance of getting into NYU than CMU with early decision). If I apply ED to CMU, I'd miss out on the boost opportunity that NYU has with ED, and I wouldn't get in through regular decision.

I know NYU math is semi-target, so I was just wondering if doing my bachelor's at NYU is still good, and then doing my master's at a target (transferring, I've heard, is easier)