Honestly, it would be best to put on a spare. Chances are you could make it to the shop with no problem, but there's an increased risk. The tire could rip and rapidly deflate, or it could leak fast at an moment and leave you with less control than normal. Usually you would just pull over with no danger, but now what? Change your tire in the middle of the road?
If you have no spare, drive on the least busy streets as possible, and go a reasonable speed and be ready to pull over any second. Keep your distance and plenty of braking room, etc.
If you have a spare, another bonus is that you don't have to wait at the shop to get your tire fixed. You can drop off the wheel and have them fix it while you shop nearby or something. I normally take a tire off to have it fixed even if its just a nuisance pinhole because it's easier for me to drop it off and pick it up hours later or even the next day.