Some people say you can do all that in a combination convection/microwave oven, using the convection-oven feature. Your new rig probably has one of these.
You'll likely have to experiment and adjust cooking times and temperatures until you get it right for each recipe.
I dunno -- I narrowed my selection when I bought my MH, because I absolutely wanted a real oven. I use it often. I use the microwave often, too, but I've never tried its convection-oven feature.