This article link below will give you all of the most desirable neighborhoods in the Little Rock, North Little Rock and outside surrounding markets. Stay clear of the River Market areas since crime is up these days. Neighborhoods like the Heights, Cammack Village and Hillcrest are well established and you will find that there are plenty of people, within the same age group, to socialize with. I lived in North Little Rock for many years and your best bet is the Lakewood area. Lakewood is central to dining, shopping, grocery stores, banking, etc.
I believe you have been given a great answer already, but I had to get my .02 cents in. Did you find what you were looking for? If not, I would definitely be interested in talking with you and maybe I can help you settle into an area in Little Rock. What type house are you looking for? What square footage? What price range? There are several areas in Little Rock that may interest you, but we need a little more info as to what you are looking for to give us an idea of where may best suit you?
I have a client in Little Rock that is trying to move to HSV, AR. They need to sell their home there in order to buy here in HSV. Contact me and maybe we can work something out for both you and my client. Thank You.
Of course, "best" is relative, but West Little Rock is booming. All the neighborhoods of Chenal are newer and desirable. If you prefer older/historic homes, the Heights & Hillcrest are for you. They are bordering neighborhoods closer to downtown and have a "small town" feel. Leawood is in between both in age and in geography. North Little Rock is similar and the home prices are generally a bit lower there. Maumelle is also a consideration. It is a small town between Little Rock and N. Little Rock. It is entirely self-contained but also very convenient to WLR.
The weather is a bit crazy this time of year. Generally speaking, it is quite warm and humid during the summer and fairly mild winters with very little to no snow.
Please let me know if I can help you in any other way. I'd love to show you my home town!