Without tubes you will be putting air in them every other day . And one good thing about having tubes in them you won't get the wonderful sway on the back end when you have them aired down .
If you put in tubes, plan on using screws.
If the tire turns on the wheel (likely with any DOT or slick), it'll pull the valve stem out of the hole in the wheel. You'll be getting your tires remounted after each trip (or two) to the track.
Some lose air without tubes, most don't. My Buick needs a few pounds in the driver's side tire after a week or so.
S.