Welcome! Can't help you with Tamiya, unfortunately. But I'm a big fan of acrylics in general and specifically the Vallejo acrylics. Excellent selection of colors, they mix well, you can blend one over another, etc. [I'm not a sales rep....]
Also won't be much good to you on specific SS uniform colors. My period of interest is WWI, so if you want help with those uniforms would be glad to assist. There are lots of painters interested in WW2 on the site. Suggest you check out the vBenches and see who's painting SS uniforms recently and ask them.
Three recommendations: (1) Go to the Osprey Publishing web site and see if you can find a reference that would work for those uniforms, period, battle, etc. Don't buy it there - buy it used on Borders or Abebooks. com. Save yourself some money. (2) Do some web searching and see if you can come up with a WW2 Normandy area re-enactor group, wearing those uniforms. You'd be surprised how many different re-enactor groups there are and how many pics they put on the web. Most of the re-enactors are exacting in putting together their uniforms, scrupulously careful to make sure they're wearing accurate stuff. Over the past 3 years I've e-mailed about 10 of them, asking for information and they've always been very helpful. (3) There are dozens of WW2 forum sites. Try a web search, check one out and see if they have a "uniforms and equipment" section. The WWI forum site has one and it's amazing some of the stuff the amateur historians and equipment experts know!
Gary at Colorado Miniatures has some of the best retail prices for the Vallejo. You can also catch some good deals on Vallejo on e-Bay. So far, I've bought 3 different groups of Vallejo paints off e-Bay for much less than retail price.
all the best,
Dan