What are my options for refinishing these cabinets?
The word &quot;refinish&quot; and the word &quot;easy&quot; do not belong in the same sentence.
Options:

If the doors, face frames, and boxes are real wood (as opposed to plasticized printed laminate) you could strip them, restain then, and varnish them. While not really &quot;hard&quot; per se, labor intensive when done correctly.
Sand and paint them. While not really &quot;hard&quot; per se, labor intensive when done correctly.
wash them, clean stuff like grease, dirt, and tape residue off, lightly sand with fine paper, re-varnish. While not really &quot;hard&quot; per se, labor intensive when done correctly.