I did a quick map search in our MLS and found 13 townhouses for rent that accept pets. I did not filter for length of lease, but that is not usually a big problem, nor did I check if they take dogs or cats. Just for grins, I also checked single family houses and found an additional 41 in that area and that will accept pets. There are many price points from $1400-8000/mo.
Please contact me by phone or email to discuss further. I will be happy to send you listings and when you narrow down what you want to see when you arrive in the area or when you visit, I can show them to you.
You may have already searched on trulia or http://www.realtor.com or http://www.remax.com, but if you don't want to contact a Realtor, you may search those sites. A Realtor can make the search easier, of course!