It depends on preference do you like uprights or the ones with loads of attachments, I think in your situation maybe your best with the wheeled one with attachments because you can clean up more things and in more places. My parents have one of those Henry hoovers which is th wheeled one which I quite like because got 4 good wheels so easy to pull around and quite reliable and durable and reasonably priced. The kids will also love it because its got a face an name
Only trouble is they are not cheap so if your looking for cheap thats not it
Just looked on amazon there is another wheeled on that looks good called the BISSEL OPTICIAN CYCLONIC BAGLESS VACUM
They say it has multi level filtration to reduce household allergens and its $89 and has alot of good credits
LOOK ON AMAZON THEY HAVE A RANGE OF ALL TYPES OF VACUMES FOR ALL BUDGETS AND DESCRIPTIONS
We've had a hoover wind tunnel T series pet version with a hepa filter that gets used almost daily for a lil over 5 years now. It's inexpensive and has gotten the job done.