Question
There are some smaller Daffodils. would they be alright for a lawn planting? i notice them in photographs of spring bulbs including White flower Farm.
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The text above is a follow-up to ...

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I am burying some spring bulbs in the grass.  It occurred to me that maybe the mowing of the grass in spring would chop off the flowers and leaves.  Do you know if this is a serious concern?
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There are a few keys to success with spring bulbs in the lawn.

If you are planting something large, like Daffodils or species Tulips, you will have to use a hand grass cutter around those. But smaller bulbs such as Chionodoxa and Scilla, which like Daffodils and Tulips also need to retain their leaves as long as possible, we do differently.

Final mowings of grass for the season are done as close to the ground as possible.  With my hand mower, that's about a half inch off the ground.  This keeps the grass short to allow the most light to reach the bulbs when they pop up in April-May.

The earlier the bloom time, the better.  This gives a longer stretch of post-flowering photosynthesis.  Grass is short; temperatures are warm and bulb-friendly; heat waves are in the distant future.

Avoiding the bulb foliage during initial grass mowings may not be practical.  You just do the best you can.  And you delay mowing as long as possible.  It helps to have a slow growing grass and a cool spring.  But Nature does not always cooperative.  Like I said, we do the best we can.  And it usually works out.

Anyway, it is definitely worth the effort and angst.  

Answer
Those are "naturalized" Daffodils I think you are seeing and they only work if you don't mow the lawn.

Jonquils are about the smallest Daffodils you're going to find.  They may be the most practical for your purposes - they bloom relatively early, are shorter than the other divisions, and many are fairly tough enough to recover from premature foliage removal.  The problem is, Jonquils and other Daffodils, as well as Tulips and Allium, need a dry summer.  You won't find that kind of arid environment in a Kentucky Bluegrass Lawn.

It sounds to me like your heart is set on this plan.  I hate to discourage anyone from any kind of gardening.  The worst case scenario: You get a dazzling one-show spring performance.  More likely, this would repeat at least a few springs, tapering off each year, at which point you could, if so inclined, replenish your bulb supply and start anew.  They are cheap enough to do that, especially if bought in quantity.  Who am I to veto a gardening project?  I say, Nothing is impossible.  And that said, get those bulbs in the ground asap.