Whoever decided that the best place for the washer and dryer was in the basement - often in an unfinished area with a dusty concrete floor and spidery open-joist ceiling - didn't do laundry very often. Especially if you have kids, a laundry area in the kitchen will be much easier to get to and use, and usually be nearer the bedrooms where much of the laundry is produced.
The kitchen already has water supply and drain lines ready to hook your washer into, so if you do want to move out of the basement, it's a good place to move to without having to pay for major plumbing work. You will almost certainly need to run new electrical circuits though, if you want an electric dryer. A gas dryer may be a good choice if you already have a gas supply to the kitchen for your range.
A stacked washer and dryer in the kitchen uses much less space than the regular full sized separate appliances in their own laundry room. Consider using the laundry room for something else completely - maybe you can remove a wall and combine it with the kitchen, maybe you need mudroom space for your large family, or maybe it could be a home office, craft room or darkroom.
Do you have a kitchen laundry? Would you have one? Why or why not?