I never heard of Digikey or Newark.
I've gotta agree with others here; don't screw around with dubious parts from China, or even eBay. That's Mickey Mouse; you can do better (and it won't cost you much more either). eBay's OK for things like kits, but for components (resistors, caps, semiconductors), go right to the source rather than some random private seller.
Since nobody posted a link to Digikey,
here it is. Very easy to find stuff there, especially if you use their parametric search feature; that's a fancy-schmancy way of saying you can focus your search for an item based on lots of different criteria (say, for an LED, you can specify color, voltage, physical size, whether it's surface-mount or through-hole, etc., etc.). Their minimum order amount isn't bad, they ship quickly, and they have damn near everything you'd ever want or need.
That way you know what you're getting. Some (not much, but some) Chinese stuff is even fake! (Not that some of the parts you'll end up buying from Digikey aren't made in China, but they're sourced through legitimate producers, not fly-by-night Web scammers.)
Of course, you should also make full use of all that stuff in your junk boxes, cans, barrels, etc.
Only problem I have with Google is, it is very slow [...]
It's not Google that's slow; it's your computah. Sounds like time for a new one (or maybe have someone look at your network connection or other problem that might be slowing things down).