I echo others in cautioning you against the Rumble. If you're on a budget and just messing around they're fine. I keep one as a practice amp in my office. But when they break they become a big paperweight - not worth fixing; the board design is disposable. More important, they're not at a high level sound-wise. They sound better than you expect trying them out in the store, but even a Rumble 100 can't stand up in a jazz quartet or rock trio. It's beginner gear. I'd never put my DB *or* BG through my Rumble at an actual gig. A Markbass combo (CMD12 or other portable model) is great, if you can find one used for a decent price - but avoid the Guitar Center "budget" line (with the oval emblem) - those are second-rate, very meh.
Genzler, Genz Benz, both are good. If you can find a used one (good luck) the Mesa Boogie Subway is AMAZING - IMO about the best-sounding solid-state portable head on the market for under $1000, and sounds good with upright (but you have to tweak the settings). I did a shootout at Pitbull with my fretless against comparable Aguilar, Eden, and Ampeg heads, and the Subway blew them away. It wasn't even close (well, the Tonehammer was not bad - respectable 2nd place). Those things are fantastic. I've owned or used a bunch of other brands: various Ampeg, GK, Hartke, Trace Elliot, Eden...none of them offer anything better than Mesa, Markbass, or Genz/Genzler, IMO. Most had notable deficits of one kind or another. Sure, Ampeg SVTs are really nice, but expensive and *heavy* and not ideal for DB. Of course Bergantino, Demeter, Epifani, EA, have really nice amps too, but those are $$$.
I also second the suggestion of a preamp like the Bassbone V2, if you can snag a used one at a good price - I use it on my big pedalboard, to switch between fretless and fretted. Really nice toolkit. A comparable alternative the EBS Microbass; I have a Mb II on my small board and it also has a lot of functionality; now that the III has come out you might be able to find a cheap MbII - very useful piece of gear; good sound and versatile. There are other great preamps for upright - the Fishman Platinum is high on my wish list - but the Bassbone and Microbass both have 2 inputs so you can switch between DB and BG easily, and both have lots of features and good sound. I've gigged a fair bit with both of them; never any problems.