Changing a carpet staircase to wood

[John Collins]

The wooden handrail is in good condition, just needs a paint job.

There are 15 steps, 10 of them are the same size and the bottom ones get slightly larger.

The tread is 66 sq ft, the risers are 37 sq feet and will be basic white. 

Getting engineered wood at $5.5 sq/foot with install to match downstairs. 

What should the final price with install be? My guy , who normally charges a good price on floors and makes up for it elsewhere, is quoting me at $2.5k. 

Steps will look like this (but with engineered wood tops not hardwood).