At about 2,500 miles from coast to coast and roughly 1,200 miles top to bottom the U.S. contains around 3.97 million square miles... if you could narrow your interests a little perhaps I (as a native) could help you with your quest.
One thing, right off the top, it'd be a good idea to limit your hotel choices to one of the (many)
extended stay selections. While I appreciate that you don't want to cook while on vacation, the extended stay's offer seperate bedrooms and a nice area for just kicking back... maybe watching our extremely interesting selection of reality TV programs (Duck Dynasty comes to mind) (Not!).
Anyway... I use Marriott products and their "Residence Inn" series is especially comfortable (seen here:
http://www.residenceinn.marriott.com/?scid=4f9f3df7-9bda-4576-ade2-74a4a6f93555&ppc=ppc&d=1br2core&utm_source=Search-Engine&utm_medium=CPC&utm_term=Branded+Core&utm_campaign=Branded ) Sorry for the lengthy URL. There are many others as well.
But... to reiterate, you need to ask about or tour the internet to see what you're looking for. Need not be in a major city... for example, Wisconsin Dells in, guess what State...(Wisconsin) has the country's largest water park... and there are several others to boot. Our kids love it... seen here:
https://www.noahsarkwaterpark.com/?_bt=47586331642&_bk=wisconsin%2520dells%2520water%2520park&_bm=b&gclid=CNCCy4vzsMACFQwV7AodnTgAYA ...Or... perhaps one of the many Six Flags Over Texas theme parks (not just in Texas) and I highly recommend San Diego, California as the best all around destination. Always wonderful weather (averaging 73 degrees (F), one of the largest zoo's in the world, major theme parks, plus Balboa Park (seen here:
http://www.sandiego.org/articles/balboa-park/balboa-park-san-diego.aspx ).
All that, plus one of the U.S. Navy's largest bases. We haven't even touched on New England or the Pacific Northwest, mush less the Rocky Mountain area in which I live... Welcome to the U.S., regardless of destination!