For indoor you will need a faster lens than a 18-200 or a 70-300...
It also depends on what sports you want to shoot.
If you need the range I think the 80-200 f/2.8 will do the job, for wide angle (mostly extreme sports) I would take the 17-55 f/2.8 (both from nikon).
If budget is a concern sigma has the excellent 70-200 f/2.8 (which is better than the tamron alternative) and tamron has the 17-50 f/2.8 (which I personally own but haven't used yet because my camera was broken) that focuses a slightly slower than the nikon 17-55.
And again, it all depends on your budget.
Bodies: Nikon D80, Nikon FM2n, Zenit 3M, Olympus Pen EE-3
Glass: Tamron 17-50mm f/2.8 + Nikon 50mm f/1.8 + Nikon 35-70 f/2.8 + Industar 50mm f/3.5 (M39 Screw mount)
Light: two Nikon SB-28's
Backpack: Kata DR467
Shoplist: Nothing for now