Not trying to dissuade you here, but if you're looking at Battletech through the lens of Gundam's mobility, you're going to be sorely disappointed; think more 'walking tank with all the aerodynamic properties of a dropped anvil.'
A ~Good~ 'Mechwarrior can do things like make the (typically-ponderous) 60+ tonners like the Rifleman, Jaegermech, Archer, Marauder, etc. do things like sidestep missile spreads, or duck, and 'mechs with hands do have cockpit waldoes when the pilot needs to exert delicate control; usually not when the 'mech is yanking a girder out of a collapsed building and proceeding to beat another 'mech over the head and shoulders with the length of iron, or simply slugging one another.
Getting a 'mech into the air under its own power is inherently unstable; the further a 'mech can jump, in general, the rougher the landing is, regardless of how well-designed the machine is; A 'mech without lower arms or hands, such as the Jaeger or Rifleman, if given Jumpjets, is a faceplant away from expensive, embarassing hilarity for everyone but the pilot; try to lever yourself from face-down without using elbows or hands and you'll get a good idea of how that would be like. (The pilot, by the by, would be at severe risk of concussion, broken bones, or worse, despite being strapped into their seat tight enough to let them dangle upside down)
In general, a 'mech is slow, ponderous, deliberate, and the heavier they get, the slower they get; top feasible speed for the average assault 'mech is 54 kph at a dead run, because the next-rated engine 'up' has a weight curve that goes from 'slow' to 'goddamn vertical'. (As an example; the 75-ton Marauder uses a 19-ton 300-rated engine to run at 64 Kph. a 100-ton 'mech wanting to move at the same speed would need a 400-rated engine, which weighs 52.5 tons)
Edit; Warg; jumpjets have incremental weight based on 'mech weight, remember? from 20-55 tons each jet is half a ton; from 60-80 tons it's 1 ton per jet, and from 85+ it's 2 tons per jet.
And yes; 'mechs are goddamn huge. The smallest 'mech ever, the Locust, is still a good 9 metres tall. The Atlas, while no longer the deadliest, is still the tallest, at 14 metres (with surface-to-space antenna retracted).