Higher Downpayment for Cash Later?

[Ryan Cousins]

Hi Everyone - my fiance and I are buying out primary later this year (new build) and I am debating on how much to put down as much down payment. 

I was planning on 20-25%, but could go as much as 40%.

Outside of the lower monthly, would there be any benefit for putting more down? 

If I did go higher on the DP and I wanted to take out some of the home equity in a year or so what would be the right vehicle? HELOC? Cash Out Refinance?

Thanks for the insight!