If you've just switched to synthetic, and bought it used, i'd start with changing i at 3K intervals for the first couple of times.
Short distance driving with standard oil tends to cause sludge build up inside the engine. Switching to synthetic will break down this sludge, and while thats a good thing, if there is an excessive amount, it's not un-heard of for the chunks of sludge to get clogged up inside the filter...and you obviously don't want that.
Check your oil often after you first switch over. You'll probably notice it get real dirty, real quick. You might even have to change it early, and that's ok. After a couple of runs with synthetic, you'll begin to see it lasting longer.
That being said, I switched mine over to Mobil 1 10W-30 Fully Synthetic about a year ago, and it has been one of the best decisions i've made about taking care of my Jeep. I know Amsoil is a great product from all the harping on it that JJ does (just messin with ya dude \

/ ), but i've got zero complaints about Mobil 1, and the best place to get it is at wally world (comes in a convenient 5 quart jug!)
As far as filter's go, I highly recommend the Napa Gold line. They're manufactured by Wix (very well known in the oil filter world, and very good quality). Cost me about $6 and some change. STAY AWAY FROM FRAM!!!! [-X