For sure this is easiest on the first level. If playing with other people, let them do all the work and killing while you just concentrate more on moving defensively.
Also when power ups come up don't bother getting any weapon ones, only collect the shield power up, which will you give a temp shield that will reflect incoming bullets for a limited time. You can hold up to 8 at a time.
This is overall an easy achievement and shouldn't take more than a couple of tries if using either or both of the above tips.