did this a few days ago, the screws just need to be broken loose then then come out decently easy. As far as getting the basket off, take the screws out and hit the bottom of the basket(while its sitting on its side) with a rubber mallet and it will separate(you have to hit it will a little force).
edit: i used an impact and it took me less than a minute to get all the screws out. if you use an impact though, dont rip on em, just tap on the trigger and you will see it break the bead of glue over the screw(on the edge) and then it will come out easy.
edit2: dwright > me (bad idea to suggest the impact.)