Most disposable diapers just have soaker panels in the center. But I want a diaper with side protection because I'm a side sleeper and I want something that won't leak. What brand can I find at wal-mart that has this?
I'm not quite sure what you mean by side-protection. But side-sleeping is notorious for leaks. From what I know, a nappy with a shaped pad, by which I mean one that is more hour-glass shaped than just rectangular, might give better protection, as will any nappy with leak guards, but I imagine yours have leak guards, since nearly all do. I think it might be a case of getting the most fully fitting, absorbent nappy available to you at Wal-mart or wherever else you can shop, which I'm sure you've already done. Others here will know more and might be able to offer ideas.
You are going to have a hard time finding a diaper at walmart that will not disappoint you. The gold standards are Abena Xplus and Mollicare Super Plus, though these are difficult to find. You can order the Molicare Super Plus at walmart.com and have them delivered to your local walmart, but they are only sold by the case and are quite pricey. If you can, go to go to a medical supply shop or an independent pharmacy and see what they carry. If you can find the FQP Full Mat Briefs, they might suffice. They have padding that extends well into the 'wings' of the diaper. I'm not sure where you live, but in the NY met area there are a number of independent pharmacies that carry these. I happen to like them quite a bit. Good luck.
cloth diaper's have absorbent cloth on the sides, they are perfect for side sleepers, and cost less in the long term.
I myself am thinking of getting cloth diaper's for the price savings at the long run.
a pack of drynites cost almost $13, so if I get plastic pants, pins, and cloth diaper's for $70 i sure am saving a lot in the long run as quality cloth diaper's will last a few years.
One approach for side-sleepers especially is to make up your bed with an underpad or at least a draw sheet. Another approach is to use a good waterproof sheet so the only harm from moderate leaks is the fitted bottom sheet will need to be changed.
Even with really good cloth diapers and ideally fitted waterproof pants side-sleeping increases chances of leaks.
I used to be a side sleeper... but I had the same problem. I trained myself to sleep on my back. I also pull the diaper up higher on my back side... (it provided more padding for the urine to soak into before being able to sneak out the back (top) of the diaper. It only took a few weeks until I was comfortable with my back sleeping. So if you don't want or have access to cloth... you might be able to train yourself to sleep a different way.
It is very uncomfortable at first... but eventually it becomes natural... at least with me.