Your body in itself is pretty much neutral- often it is just your lung volume making you float, however some people are sinkers, some are floaters and this really depends on muscle/fat ratio. Fat floats.
Scuba equipment is bulky adding to volume. Increased volume requires an increase in weight to sink it. 4-5lb is usually sufficient to sink the scuba equipment, however if you use a steel tank, then that should be already negatively buoyant- no extra weight required.
The biggest x-factor is wetsuit size and thickness. Assuming you use a newish size XL, 3mm suit, I would suggest another 4-5lb for the suit.
Add to this the 'normal' stress of beginning diving where you have not yet learned to breathe 'properly'. An increased breathing rate means keeping more air in your lungs- this also increases the amount of weight 'needed' to descend.
Given your body description, with a common AL 80 tank and a 3mm shorty, I would guestimate at 10-14lb to start. Borrow the lead, rather than buy it to start as required weight changes often quite radically during the course, starting with your first 'hesitant' breaths on scuba to the more relaxed breathing pattern after a few more dives.
If you in fact do have to buy it, make sure there is a refund for weights not needed after the course. Lead doesn't degrade from a few hours underwater and so has full re-sale capability.