I would recommend finding a lawnmower that has a bag, unless you love to rake.
Most mowers today are mulching, but you still want the option to bag. The idea of mulching is over-rated.
Also, if your yard is rough (bumpy), you might choose a model with large rear wheels.
Many of the self-propelled mowers nowdays do not let you pull the mower in reverse. The wheels lock.
I agree that you want to get the options you need. At least look for s BS motor and a bag.
happy shopping!