Tire size question

[Jeff P]

Does anyone know what my tire size options are for my stock h2 rims? I would like to get a set of pro comp xterrain tires and would like to stay with my stock rims if I can put a taller size tire on them. As you can tell I do not know much about wheel and tire combinations.

Thanks

Red H2 Adv., no sunroof, XM,750 NAV GPS, Myron & Davis DVD system, Outside spare, third row seat, etc...
2003 Mini Cooper S (Indie Blue) Very fun car!
2002 Avalanche
1999 F350
1997 Passport (son's car}