Looking for compressed standard definition file format to share footage between Final Cut Pro 7 and Adobe Premiere Pro CS6
Your best bet is probably MPEG2 or MPEG4.  Both are going to have quality loss compared to your high quality DV format though, but proportionally, they should be pretty good.  You should be able to use Adobe Media Encoder to make the transition to whichever format you want to use.  Simply setup a profile and drag all the files in to Encoder and let it rip.  

As to the type of MPEG2 or MPEG4, it really depends on what you are trying to accomplish.  I would personally probably go with h.264 at a fairly high quality level, though there will be some amount of difficulty working with the format in an NLE since it doesn't store very frame.  You really have to choose a trade off between space and efficiency in your NLE.  Large, less compressed videos can more readily access a particular frame without hammering the CPU, but they take up more space.

Motion JPEG is an in-between format that compresses each frame individually (or you can use all I frame H.264) but both give up a LOT in terms of compression since they compress each frame individually instead of making use of multiple frames at a time (which complicates non-linear playback).

One final option, (which is likely what I would do in your shoes) is to not recompress at all, but rather move the DV format video to an MOV container.  AVI and MOV are just containers and while AVI may not play nice in Mac world, MOV should play nice in both.