The stock Goodyears are junk.
Good luck finding a tire that is truly round. Usually to get it exactly round you have to have the tires professionally balanced and "shaved"
Good road tires that last (you actually get your moneys worth) are Michellins, or BFgoodrich) Of course there are so many dang tire brands and only really 3 companies that make them your choices are endless.
I have had Michellins on most of my cars, and baby do they outlast most the other brands and they perform great too! BFG's are good tires too.
Pirelli makes a really good tire for your Explorer, they are a little pricey though....
You can do a ton of research online once you find a tire you like at a good price, read all kinds of stuff from people who have already tried them, thats the best way to go.
Dont fall for the 4 tires for $99 gag, thats just a ploy to get you in the door and you can forget about tread wear warranties, they never honor them.
Your best bet is to do the "chalk test" with your new tires. Make sure your X is aligned (not just within specs but acutally aligned true) and then rotate, rotate, rotate. I rotate every 3 oil changes (9000 miles) and I always check my tire pressures. A tire wont last very long at all if it is not balanced correctly, doesnt stay balanced, if your alignment is a little off, or if the tire pressure is wrong. that is the key to gettting your $$$$ worth out of tires.............know you tires