Honda specifies 0w-20. You are under warranty. Why not wait until your warranty is up before you switch? You only save about $5 per jug for M1 or PP 0w-20 vs MC 5-20 Semi-syn, at least at wal-mart. With coupons, pricing can be identical. While Honda is unlikely to invalidate your warranty based on oil change, it is a risk I wouldn't take to save $5 a year.
If you live in a warm climate 0w-20 vs 5w-20 will function identically. In a very cold area like Minnesota, Ottawa or Maine, you may see some benefit to 0w-20 in the winter (faster starts, quieter engine, less wear). 0w-20's are usually full synthetic oils, so you may see very slightly lower deposits, oxidation, sludging etc. vs the MC Semi-Syn. Depending on your driving conditions, the MM can go 11-12K before reaching 0%. At that mileage, I would be more comfortable with a full synthetic like M1 EP 0w-20, along with a high-end synthetic media filter.
If you are leasing, just get the cheapest oil that meets the specs.