Recamming can be "tricky". Almost always, a different (i.e., bigger ) cam, will lessen bottom end power, while upping mid and/or higher end power.
When Dinqua says "medium street grind", what he means is a cam with slightly longer duration, but higher lift and faster lift rate. This will give you better midrange power, without sacrificing too much bottom end.
As a side note, I've got to say that most of the prices I've seen for regrinding a customer's Triumph cam are shockingly high! It wasn't all that long ago one could buy a brand new, V-8 car, steel core, roller racing cam for around $250. (Regrinding your race roller was around $100.)
I've not looked closely at Triumph twin cams to see if they have nonsymetrical lobes (opening ramp has a different curve from the closing ramp), but nonsym. lobe design has been all the rage for the past 25 years. You want this, no matter what grind you decide on.
Remember, if you recam, you will most probably need stronger valve springs, even if you don't turn more rpms!. The reason is that the faster lift rates of the HP cams "throws" the lifter up (in OHC cases, down) at a faster rate, which can cause valve float at a lower rpm than before. Add to that the higher total lift of the newer cam, and the tendency of users to take advantage of the higher rpms he can now turn, plus the additional weight of the newly needed thicker valve shims, and one can easily see the coming valve contact with the piston. Ouch.
Also, cylinder head porting will make your current stock cam more effective. A great companion mod with porting is the installing of bigger intake valves (stock ex. are OK).
If you are on a budget, the best things you can do to make your bike perform much better are to install a big bore kit and get the head ported. No need to turn those higher rpms with these mods, so your stock cam should do just fine.
If you want to do something more than these mods, get yourself a pair of those accelerator pump replacement carbs.
