Obviously it will be increasing over the length of the deal, but I'm not aware of a source showing the exact numbers. The last year of the current TV contract is at around 1bn, the first year of the new TV deal could be 2bn with modest annual raises, or 1.5bn or 1.1bn with higher raises or whatever way they structure it. This is where the huge cap increase could happen if they don't smooth it.
You think the players will lock themselves out? When was the last time this has happened? It's called a lockout for a reason and I wouldn't expect the players union to cause it - only the owners might want to but it's unlikely IMO.
A lot of teams already have - Spurs, Suns, LeBron, etc.