We just went through this (have been in our new house nearly 3 weeks now) so I totally feel your pain. For myself, I would hate too much to give up morning play time now that it's so beautiful out. It's too important to me and makes our mornings run so much more smoothly when they can unleash the energy from being pent up all winter. I just would keep it as clean and tidy as possible, and use up part of my break time (nap) to clean up the tricky areas like the floors. Now that it's nice out we go out twice a day morning and end of day, we love it!
So, that's what I did, but if giving up morning outside play is something that works for you and your schedule and if you think it will make life easier then by all means go for it!