Unless the rules changed since I checked it a few years ago, in the first year you use the vehicle for business you need to decide how you will handle the vehicle expenses, then stick to that method--either actual cost or business miles.
In either scenario you need to keep a log of how many miles were commuting to a 'regular' job/place of employment (not deductible), how many were personal miles (a non-shop trip to pick up the kids or go to the grocery store or on vacation), how many were 'business miles'. If you are using actual cost, make sure you don't deduct things like gas costs or oil changes etc. for which you were reimbursed.
So lets say that licensing, insurance, depreciation and services such as gas, repairs, maintenance that were not reimbursed by shops comes to a total of $4368, you drove 7000 miles and 700 of them were business miles for shops. 10% of your miles were 'business miles' so 10% of the $4368 would be your deduction. If you just took the business miles at the IRS mileage rate for 2015 your deduction would be 57.5 cents x 700 = $402.50.
Leased vehicles are handled differently than owned vehicles. If you lease or generally buy new and trade in within a couple of years the actual cost may make sense for you. If you own and run a vehicle for many years, the IRS mileage rate generally makes more sense.
Gather all your information and talk to your tax person before you make your decision which way to go if you think actual cost may be a better deduction for your business. But realize that with the mileage option the only additional vehicle expenses allowed are parking and tolls. And of course everything needs to be documented.