FLT CREW OF BE20 CROSS RWY TO WHICH THEY ARE CLRED (RWY 12R AT HOU) WHILE 'FOLLOWING' ANOTHER ACFT WHICH WAS ASSIGNED RWY 17. THESE RWYS INTERSECT SHORTLY BEFORE THE DEP END OF EACH.

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I WAS SOMEWHAT UNFAMILIAR WITH THE LOCATION OF THE FBO IN RELATION TO THE ARPT. I SPENT SOME TIME ORIENTING MYSELF WITH THE ARPT DIAGRAM DURING THE FLT PLANNING AND PREPARED MYSELF MENTALLY TO TAXI OUT AND USE RWY 12R. DURING PREFLT; I DISCOVERED THE OWNER DID NOT BRING HEADSETS DOWN WITH HIM ON THE PREVIOUS FLT; AND I ONLY BROUGHT 1 SET DOWN WITH ME. WE DECIDED I WOULD HANDLE THE RADIOS; HE WOULD BE THE PF AND MONITOR THE RADIOS USING THE OVERHEAD SPEAKER. WE WERE GIVEN; AS BEST AS I REMEMBER; A CLRNC TO TAXI FROM THE FBO TO RWY 12R INITIALLY. ANOTHER KING AIR WAS ALSO TAXIING OUT JUST AHEAD OF US. AS WE APCHED TXWY G; WE WERE ASKED BY GND CTL IF WE WERE BEHIND THE OTHER KING AIR. I CONFIRMED WE WERE AND WE WERE GIVEN INSTRUCTIONS TO FOLLOW THE OTHER KING AIR. I READ BACK THAT WE WOULD FOLLOW HIM. I WAS NOT AWARE THAT HE WAS NOT GOING TO RWY 12R; HOWEVER. HE WAS GOING TO RWY 17; WHICH REQUIRED XING RWY 12R. I WAS SOMEWHAT RELIEVED TO BE GIVEN THOSE INSTRUCTIONS AND CONFIDENT THE PF COULD SAFELY CARRY THEM OUT; SO I FOCUSED MORE OF MY ATTN ON THINGS INSIDE THE ACFT. SHORTLY AFTER TURNING ONTO TXWY G; GND CTL TOLD US TO SWITCH OVER TO TWR; WHICH WE DID. THE NEXT TIME I REMEMBER LOOKING OUT; WE HAD TAXIED ONTO RWY 12R FOLLOWING THE OTHER ACFT ACROSS TO RWY 17. THE TWR CTLR SAID; 'ACFT X YOU JUST CROSSED RWY 12R; GO AHEAD AND USE RWY 17. TAXI UP TO THE HOLD SHORT LINE OF RWY 17.' SO WE DID. CONTRIBUTING FACTORS: 1) PLT'S LACK OF EXPERIENCE IN ACFT. 2) ONLY HAVING 1 PAIR OF HEADSETS. 3) CONFUSION ON TAXI INSTRUCTIONS. 4) UNFAMILIAR WITH ARPT.