Using residential type fixtures is usually straightforward, just make sure your plumbing is and hole sizes match. I like to take the old fixture with me to my favorite home improvement store.
Having said that, we all need to run the water to get hot water to the fixture. My shower has that same fixture, but is up belly high in the shower, so having a faucet would do no good. Ours has a hose to the shower head, so we take the shower head down and point it toward the drain, adjust the water, and there we are!
Doug and Patience and Shelby the mutt
2015 Crossroads Sunset Trail Reserve ST26RB
2013 Ford F-150 3.5 EcoBoost XLT Supercab 4x4