POTENTIAL GND CONFLICT WITH AN ACFT ON FINAL TO RWY 04 AFTER A RWY INCURSION BY A CL-65 AT HOU; TX.

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WE DIVERTED TO HOU BECAUSE OF THUNDERSTORMS OVER IAH. AFTER REFUELING WE WERE DISPATCHED TO IAH UPON TAXI OUT TO RWY 04 THUNDERSTORMS WERE IN THE VICINITY OF HOU; OTHER TFC WAS REQUESTING THRU GND CTL SPECIFIC HEADINGS ON DEP TO AVOID THE WX. WE HAD OUR RADAR TUNED UP AS WE WERE TAXIING. I THOUGHT I HAD A GOOD HANDLE ON THE RTE AND I WAS MONITORING THE RADIO TFC AND RADAR TO MAP OUR DEP STRATEGY. BETWEEN GLANCING AT THE RADAR; TRYING TO FIGURE THE BEST DEP; AND THINKING RWY 04 WAS FURTHER AHEAD I FOUND US ON THE DEP END OF RWY 04 AND RADIOED US TO CLR THE RWY AND TWR SENT AN ACFT ON FINAL AROUND. I BELIEVE THE CAUSES ARE CLR. MY SOLE ATTENTION SHOULD HAVE BEEN ON TAXIING THE ACFT TO THE RWY. I'M SURE ITS AND OLD STORY: YOUR SURE YOU KNOW WHERE YOU'RE GOING SO YOU LET YOUR ATTENTION SLIP TO OTHER PLANNING FACTORS. ONLY ITS OBVIOUS NOW THAT I WASN'T THAT FAMILIAR. I HAVE BEEN TO HOU BEFORE BUT IT WAS DURING THE DAY; NOT ON A DARK RAINY NIGHT. ALTHOUGH THIS WAS CLRLY MY FAULT ONE MITIGATION FACTOR SHOULD BE EXAMINED. THE HOLD SHORT LINE AT RWY 04 IS IDENTIFIED WITH A PAINTED STANDARD LINE AND SIGN. SINCE IT INTERSECTED A TXWY TO RWY 35 I BELIEVE IT SHOULD HAVE THE ELEVATED FLASHING GUARD LIGHTS. SUPPLEMENTAL INFO FROM ACN 538888: AS THE FO; I COULD HAVE BEEN MORE CAREFUL; LOOKING OUTSIDE AS THE CAPT TAXIED TO ACFT. I HAVE BEEN TO HOU MANY TIMES AND FOUND ONE THING THAT CONCERNED ME. RWY 04/22 RED SIGN WAS MARKED 04/35 AND THEY HAD NO FLASHERS. I FIND THE YELLOW SEQUENTIAL FLASHERS THE BEST INSURANCE IN PREVENTING A RWY INCURSION. ANOTHER FACTOR WAS FATIGUE. DIVERTING FROM IAH WE HAD TO GAR WX AND TURB THAT REALLY EXERCISED ALL MY AIRMANSHIP ABILITIES.