Find all ten words described below.

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The first word you'll need
is a tool used to snare.
Reverse and add one:
a dwelling filled with fresh air.

Append the letter H
to find a metric sort of part.
Now change N to E to get
a smile, at its heart.

Tack on an 'I N G'
to make a baby's cross to bear.
Remove the center two
and find a golfer's action there.

Add an S and drop the E's:
A painful bite you'll see.
Add one to the end: you will make
penny-pinching, miserly.

Put first 2 and last 2 out the door,
What's left is really cool.
Only keep the first half of that
And now you find the fool.