Drill hole in roof, put 800mhz 1/4 wave or low profile antenna on it. Trust me no more static.
What he said. Seriously, spend a week reading through old threads in the antenna forum and see what people have used in the past. Myself, I drilled a hole in my trunk lid, put in an NMO mount, and screwed on a Larsen 150/450/800. Other folks prefer antennas meant for just the 800MHz band. Some people don't like making swiss cheese out of their cars and use mag mounts, trunk lip mounts, crazy brackets and whatnot.
Instead of bi-directional, I think the word you were looking for was 'omnidirectional', which pretty much means it receives equally well on all sides. That's okay - if you're just getting into this, the lingo can be a little confusing at times.
Also, check the Install forum and you can see first hand what some of this stuff looks like on other people's vehicles. Remember to use the search function, the search is your difficult but always predictable friend.