Hello.
I'm no expert either, but I may be able to help. I've been playing for 5 years now and have finally found my ideal right hand picking technique. Around here we call it "floating thumb".
You can read it here:
floating thumb techniqe
The thread contains a detailed discussion of 3 techniques involving different things you can do with your thumb - and if you opt to choose the floating thumg technique I think it will really help you out with the "unwanted right hand noise" you are experiencing because it allows you to mute with the thumb.
Another right hand technique is discussed here:
A (Somewhat) Definitive Guide To The Matthew Garrison Technique And Playing Ramps
Although these right hand techniques will take time to master, I think they are worth learning (well not all of them silly!, unless you've got waaaayyy to much time on your hands), and the earlier you start the better. If I had read the floating thumb thread when I first started, it would have save me almost 5 years of unsuccessfully experimenting with different techniques to find what works for me.
The other source of "unwanted right hand noise" might occur because of how you're actually plucking the strings. Some new bass players (and some bass players that do it because they like the sound) tend to use a "typewriter" plucking style, essentially plucking toward the pickup and nailing the string hard enough to make it hit the frets and give a very metallic twang to the attack (for example, Steve Harris of Iron Maiden does this most of the time). If you don't want this, as most bass players do not, you should play with your fingers curved towards the bass, so that when you pick the strings you are picking "upward" rather than "inward".
As for fretting that should come fairly easy for someone who has played guitar for so long. Really the only difference I can think of between guitar and bass guitar is bass requires more strength to fret. It will come with time. I agree with the other person posting that you should get used to playing all over the neck of the bass. I (and alot of bass players) prefer to play to bass angled upwards and adjust the strap so the bass is fairly high. To me, this gives the best possible accessibilty along the entire neck.