Getting around Pahalgam is done mostly by walking, taxi and ponies. Ponies are avaialbe at officially published rates everywhere - Main market, Laripora, Aru, etc. Aru can be reached by taxi for an onward treck to Lidderwat, Kolohoi Glaciers, etc. If travelling in winter carry proper boots, as often the roads will be covered with snow.
Aru is a great place to stay in - in the lap of nature. Options for stay here are rather limited though.