Both are very nice, if it is in your budget go with L’ Auberge. 🏖
Have not stayed at cypress but do read reviews. The auberge is nice
You also might want to check out La Playa. It is also in Carmel proper where it sounds like you want to stay. If you want lodging with gorgeous oceanviews and don't mind being a bit out of town, The Tickle Pink Inn and Highland's Inn are both very special places. La Playa and Highland's Inn both have heated pools, Tickle Pink Inn has a terraced hot tub. :)
Thanks so much for your suggestions!