With LEDs, you want to go with ones that are rated for a longer lifespan. The "10,000 hour" ones have LEDs that are being driven too hard, while 20,000 and up are gentler on their LEDs, although they tend to be slightly more expensive.
When you say that you're looking for a round fixture for the mudroom, are you looking for a recessed (can) light, or a fixture that mounts to the box in the ceiling?