On the B757-200 nominal pitch rate is 2.5 deg/sec, up to a target attitude of about 15 deg. If lighter, then up to 20 degrees, if heavier, between 13 - 15 deg. You can actually pitch past 20 deg att with my operator, up to the pitch limit, which is shown on the PFD as a pair of parallel lines, known as the Pitch Limit Indicator, PLI, or "eyebrows". This may be necessary to contain the speed on initial climbout to below the takeoff flap limiting speed.
On the B767-300, tail clearance becomes more critical, and so the pitch rate is a lesser 2 deg/sec, , to a target att of 15 deg, even less if heavy or operating in hot and high airfields, then target att may be as low as 11-12 degrees.
In both types, the engine failure scenario demands a lower pitch rate (approx 0.5 deg/sec less than the all engines case, to a lower pitch att than the nominal 15 deg.
The less takeoff flap you use, the less of a pull on the yoke required, in any case, it's not much more than 1/4 to 1/3rd full deflection, i guess.
Other types will vary, I'm sure.
You could go on all day but hope this is useful.