Main thing with large lugs is that you will have rolling resistance when riding on pavement which will slow you down and make you push harder to keep speed/get up to speed. With larger tires you get a larger contact patch, again some added rolling resistance, but would really on benefit if you are hitting small rocks/roots/etc. as the larger tires act like somewhat of a suspension at lower pressures. If this is plainly a commuter bike then I would go with standard road-ish tires, low lugs that will give you enough grip on whatever dirt you are riding (something like a CX tire would work) and then go from there. Tires really can be a very personal selection as everyone is a little different and how each tire performs in the same conditions is different.
If I was in your shoes, and the bike was specifically a commuter bike that only saw pavement and dirt bike path (not trail) I would probably go with something like this..
MEO-26-2.1 Sheriff MTB - Serfas or maybe even this
CTRB Survivor Drifter S - Serfas. The micro knob setup of the first will show more rolling resistance on the pavement but on the dirt will allow for better traction, the second one is more of a hybrid type tire that is meant for what you are talking about, basic geared cruiser type bike that will see a variety of conditions but never truly go "off road".
Go tubeless if you can and if not get the tubes with slime in them. That way you dont really have to worry about flats quite as much.