First, congratulations on picking a very smart time to buy. Obviously, everyone here has given you a ton of info; so, I'll add a bit that hasn't been given yet.
"Safe areas" are all in they feeling/eyes of the resident. You can find all the crime stats at http://www.police.nashville.org/stats.
Since you have articulated safety as your #1 priority and access to entertainment as #2, I'd recommend you start there first and see what areas beyond Nipper's Corner offer the lifestyle you want to have.
Your price point allows you to purchase a home or townhome in multiple areas (outside of the Nippers Corner area) including Sylvan Heights, Charlotte Park, Bellevue, Eatons Creek, Madison, Shelby Village, Inglewood, Maxwell Heights, Downtown Area (Spence Enclave), Donelson, Hermitage, Old Hickory, The Nations, Historic Buena Vista and Woodbine/Glenrose.
Also, note that there may be funds available to you through several housing agencies if you meet certain criteria, especially at this price point. The Housing Fund and Affordable Housing Resources have some great programs. They are NOT grants, but can certainly aid you in getting into the home.
If you are first time buyer, you will also see some tax credit through the new housing stimulus. Have fun on the search!