There are a wide variety of brands that offer women's running apparel. Some of the top brands for running apparel are Nike and UnderArmour. A less expensive option would be Champion.
Under Armour is a great brand for women's running apparel. Their Archean and Outer Limits jacket lines both receive great reviews.
Check on academy.com. They have tons of great athletic apparel for men and women, good brands I would suggest are champion, Nike, and reebok to name a few.
Under Armour makes some good running apparel for women. Nike does as well. If you need shoes, you should consider New Balances and Asics.
Kelly's Running is actually 'Kelly's Running Warehouse'. They are an online site that is geared for the sport of running. They have a good selection of shoes an apparel for both men and women.
Go to a local shoe store, like spot-check, champs, etc.. They have employees who know which kinds of shoes that you should wear. For me, I would wear something comfortable. Also, the brand doesn't really dictate how good the shoe or our performance will be.
You can find great deals on running clothing for both men and women at Kelly's Running Warehouse. There are many styles to choose from and offer competitive prices.
There are many places online where you can purchase running apparel for a discount. Some of them are: www.wwsport.com, www.prodirectrunning.com, www.runningwarehouse.com. You can also go to department stores and look at their clearance sections as they often have good sales.
A zombie invasion would indeed warrant some good running apparel. Some companies that make running apparel are Adidas, Brooks, Zoot, North Face, Craft and Nike.
There are many sporting goods stores that sell running apparel. You may even find running apparel in discount department stores like Target or Walmart.
There are a number of brick and mortar stores as well as online shops where one can purchase women's tennis apparel. Sport Chek carries a good stock of tennis apparel for women. One can also purchase women's tennis apparel online on sites such as the Nike and Tennis Apparel websites.
Places which sell cheap running apparel for men are: prodirect running, sweatshop, running warehouse, sports direct, sports shoes, running outlet. These are all good trusted brands.
I don't really know too much about running, but I have heard a lot of people saying that roadrunnersports.com has really good sales and plenty of apparel to chose from.