If I have $100 (for used/ebay) budget for bass guitar recording and Vocal recording DI box or preamp, what would you recommend? Cloudlifter?

Cloudlifter is pretty transparent.
I use it for my Shure SM7B because the output of the mic is low.
 

Cloudlifter is great for low output microphones, I use one for my Cascade Fathead ribbon. 
It is a phantom powered mic pre - not a DI
I don't see this being useful for Bass Guitar.
 
You might consider the ART :  http://www.musiciansfrien...;kwid=productads-plaid^82171681947-sku^180581000000000@ADL4MF-adType^PLA-device^c-adid^51870555867
 
For bass only, I would suggest the Eden WTDI, although it may be over your current budget.

For bass the MXR M80 Bass DI+ is pretty good, especially if run off phantom power rather than at 9 volts.

You are asking about two different things, although many preamps include a DI.  A cloudlifter functions as a pre/pre amplifier for low output mics into low-gain preamps like people have in their interfaces (like gustabo's sm7).  It shouldn't do much for a bass going into a DI.  So unless you need to raise your mic level ...
 
If your Tascam doesn't have a DI (the UH-7000 doesn't) you proably just need to get a $20 DI.  You really need to get a Jensen or something to get a step up soundwise.
 
 

look at A Designs REDDI

Yikes batbrew, you have very expensive taste! There's no way I could go for something like that! 
I would buy me a Telecaster instead. 

it's worth every penny

for bass,
i would suggest a dedicated DI...
 
i use a SANSAMP BASS DI
 
 
for vocals, 
i would suggest a dedicated preamp,
but there's nothing at the $100 price mark that i would use.
 
 

That's why I said it is pretty much a waste to spend less.  The lowest cost pre/DI unit I would spend money on is the Warm Audio or Focusrite ISA One.  Both have transformers (good transformers cost nigh on $100) and are units you can keep even after you have everything else.  However, the little ARt MPA or whatever it is called is OK for $50.  It is a transformerless Pre  like in an interface, with pretty good gain.  It has a DI and a tube in the gain, I think.  It is a starved plate design, so it sounds like .. crap if driven hard, but on bass you can get some nice wooly sound that works.  I still have mine in the live gig bag, since it is a nice twofer out and a good little tool.  If your interface doesn't have a DI it could work well for that, either clean or for the wool.  And it is worth keeping even if only for live.
 
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