I don't own a speed queen but washers are usually very simple, mechanically. Your "grease" leak should be easy if you are replacing parts. This site has great parts diagrams so you can see what the inside of your washer looks like. Typically, you can service washers with all the basic tools. Hammer, nut driver, screw driver, pliers, lightweight pry bar.
I have a 30 year old GE that I'm still using but now have to deal with rust spots. Looking at drum replacements or using one of those special rust treatment coatings to resolve that. Only issue I had was removing the agitator. Mine just lifts off (friction fit, no nut or retaining pins or clip) but since I didn't have the custom agitator puller, I had to use a group of wooden wedges inserted in about 4 places between tub and agitator to lift it off.

On your project, don't forget to do the obvious. Disconnect the power and water before you open it up.