I have always liked feeling the head more, so I am a big fan of the Heavy Putter. The trade-off may be distance control, but I've always been fairly adept at that, so it just took a few rounds to get used to. The extra weight helps with the pendulum feel, but it's not a cure-all for a bad takeaway.
To help with accuracy on shorter putts, I have a adopted a modified one-legged stance. It was an accidental discovery, born from my preference for continuous putting. Many times in my casual rounds, I'd take an awkward stance to avoid someone else's line (stepping in with just my right foot while holding the left foot back). I found that I hit my intended line much better this way (in the 3-4 foot range) than if I marked and took a full stance. Over the past year or so, the range for this stance has expanded so that I use it routinely up to 15-20 feet.