Having used the Boss stuff, I can tell you that for the triggered stuff like the opening of that video (as opposed to the fuzzier waveshaped sounds), you have to play pretty clean and precise and generally avoid the lowest notes. Hence you might find just playing the part on keyboard much easier if you have the option.
I'm not aware of any VST's emulating the Boss stuff, but some of the guitar amp sims model the EH that Mike posted above.
For the waveshaped stuff, play around with fuzzy distortions through a synthy sounding (i.e. less wah-like; perhaps with a broader sweep and resonance set high) envelope filter - or just use a synth filter. For playing in real time, fuzz->EF often works better than a triggered synth (and is more fun) as you don't have to worry about tracking glitches.
You can also find the Boss pedals used for fairly cheap - and the same basic sounds have been included in most Boss bass multieffect pedals for quite a few years. I tend to like the synth sounds in Korg pedals better though.