Ahhhh, a project.
Search the threads for the grill cloth (I assume the boards are still okay - on second thought maybe not) and you can use the old board for a template.
Refinishing is always tricky since the the project can grow and become very ambitious (and hence time consuming). You should probably ask yourself the following questions
How much time are you willing to spend?
Do you have any experience with this sort of task.
Is this a cosmetic upgrade that would be making them look presentable or making them look stunning?
What shape are the cabinets currently in? Are there scratches, gouges, or chipped edges or corners?
Are they currently stained or do they have any discolorations (potted plants leaking are a common one)?
Are you okay with their current color?
From this we, as a group, can better advise on the multitude of options (oiling them, staining them, painting them, veneering them etc).
Some of these options are not necessarily difficult, but they could require considerable prep work (in multiple steps). The results can be stunning however. BTW do these have risers on them, if not would you like to make some?
Anyhow, scope out your final goal so we can offer more appropriate advice. Do search the threads for what others have done - it can provide inspiration.
-Tom