The best grease to use around battery connections is a conductive ant-oxidant grease such as:

Description of NAPA product:

(Conductive) Anti-Seize Compound & Lubricant, 4 oz

NAPA Part: BK 7652569
Product Line: Balkamp

Features_&_Benefits

Premium Quality Copper Anti-Seize & Thread Lubricant That May Be Used to Prevent Seizing, Corrosion & Galling Where High Temperature Conditions Exist, Contains High Percentage Of Micro-Fine Copper Flakes, Provides Good Electrical Conductivity


I also use the red/green felt circles around the base of the posts, and a black version of a battery mat under the battery.