Navysker--did you purchase and install Dawnguard? Apparently what you're describing is a known glitch with the expansion pack:
http://www.uesp.net/...yrim:Breezehome
After installing
Dawnguard, you may encounter a bug when purchasing decor for Breezehome. After initially purchasing the alchemy lab, it will not disappear from the list of available decor; it will remain constantly available for purchase and will not appear in Breezehome.
- One way to fix this issue is to temporarily uninstall Dawnguard, make the purchases, then re-install Dawnguard.
If you got Dawnguard and you *really* want that Alchemy Table bad enough, then you need to uninstall Dawnguard and then purchase the table. Once you do that, you can reinstall Dawnguard, and all should be well with your world.
Of course, what you should have done is not update Skyrim, and do the glitch to purchase Breezehome and all the amenities for free.
Then get the updates, and hey--free house!
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On a totally unrelated note, does anyone know where I can find anything with a lockpick enchantment or a muffle enchantment? I've got my smithing and enchantment maxed out to 100, so I'm trying to create a wicked set of armor, but since I still have to complete the Thieves Guild quests, I want to make sure my light dragon or glass armor can still be stealthy.