Should be straightfoward (though I gave no experience with the Greeks myself) :
- apply direcly at the embassy, instructions are on the we site. VFS and TLS are optional for all applicants as per EU Schengen rules.
- Apply as family of EU/EAA national, the visa should be free, without hassle and minimum documentation. You will need to proof that you are married (marital papers, may wish to get them legalized by the country that issued them and officialy translated if the Greeks cannot read the original language), passport (copy) of you and your spouse, an indication that you will travel together (short statement from you, on the form write under reason of travel "other: joining UK spouse to Greece". Optionally include flight ticket reservation so there can be no doubt. Questions with a * can be left unanswered (hotel booking, insurance, funds, ..).
-- further info should be on the website of the Greek embassy.
-- read the EU webpage (not all EU embassies apply the rules correctly so it's good to verify their instructions with info from the EU):
http://europa.eu/youreurope/citizens/tr ... dex_en.htm
-- read the freedom of movement act "2004/38/EC"
http://eur-lex.europa.eu/legal-content/ ... 32004L0038
