Basil is definitely one of the easiest to grow and one of the tastiest in my opinion! I plant mine in a pot and just water when it gets too dry. If you keep picking it then it will get bigger and bushier. I prefer to plant a bunch then cut it all down before winter and dry it. Sometimes I'll pick it and dry it as I go.
Rosemary is also very easy! I also keep mine in a pot so I can bring it in over winter. Just don't start it from seed! It's a pain to grow that way. You're best off buying one from the store to start off with.
Chives are also easy to grow but be careful where you plant them! They seem to come back for years. We planted some in the wrong spot and can't get rid of them now. It's not in a bad place really, but we decided to plant flowers there now, so we have chives and flowers. I'd suggest also putting that one in a pot.
I've never grown mint, but if you do make sure you absolutely keep it in a pot. It goes crazy and takes over everything.
In general, I put all my herbs in pots.
