Equity Research (PT Assistant) vs Commercial bank full-time

I live in Asia (born & raised) and went to a non-target school here, graduated this spring. I currently work at a top-tier (equivalent of what you call BB in US) securities/investment banking house in the Equity Research team. I work 8 to 5 (yeah!) and basically I assist the senior research analyst. My title is 'Assistant to RA' (laugh)

It's a cushy job. Hours are great. Comp isn't that bad. Only thing is that it's titled 'part-time'

We do have some interns in our firm but none for our dept, so they hire part-timers with indefinite employment term. (Our culture is like.. as long as you don't do something stupid like slapping the MD's face on the Monday morning meeting, you can stay as long as you want - of course if sth like Lehman happens, I'll have to go) and there aren't many, but there are 2 who started as part-timers and turned into full-time.

Now, I recently got an offer from a commercial bank at their e-business division. I'm pretty sure I'll be doing something entirely different, but it's a full-time job.

I plan'n on going to b-school in 2-3 years and then hopefully off to IB or PE

I could work here for 2-3 years but on my resume it will still be written as "part-time" Would the fact that it is a "part-time" job affect my future applications? (Hence I should move?)