No, I'd read the Hobbit first, cos it's easiest, then the Lotr to get you good and hooked, and then the Sil, cos it's really hard going if you're not already into it. Then go back and read the other two again, and watch how all the pieces start to fit together and it all starts to make sense.
Just read it in any order as often as you like really Wolf, there's no cut and dried rules for this sort of thing. But we do offer much in the way of helpful advice for those who are struggling with the Silm. (see the Sil section for this)
http://www.plasticsquirrel.co.uk for all your bizarre music and musings needs