I made the switch when my son was 4 months as well. I still alternate between the two depending on whether or not I'm working more often and therefore have babysitters (I find it easier to tell them to use disposables because I'm picky about my cloth diaper system! lol)
I started with pocket diapers where you have 1-2 inserts that you tuck into the waterproof diaper cover. When you change your babe, you take the insert(s) out and put both layers in whatever storage system you're using until wash day. You can use a wet bag, dry pail, wet pail, etc. I found these worked for awhile but when my son started moving around more, they bunched up and leaked around the edges. Now I use a 2 part system (motherease) which consists of a fitted cloth diaper and a waterproof cover. Sometimes I can use the cover all day because it's only the cloth part that gets wet and/or soiled. They're great and I haven't had a single leak but they take longer to put on since there's 2 parts. That can be hard when my son is wriggling around! lol
With solid poops, I just dump them in the toilet but with runny ones or just pee, I spray it down with baby oxy-clean to help prevent staining and throw the diaper in a pail (dry) for no longer than 2-3 days before washing. Then I do 1-2 rinse cycles just to get all the poop out, followed by a hot wash on the heaviest setting to maximize water. I change up my detergents but I try to use ones without too many additives, etc. Seems to work just fine! Then I tumble dry the cloth diapers and line dry the covers.
Sorry if that was completely boring to read lol, I just thought I'd share my system in case it helps you to get a more clear picture in your head. Most cloth converts tend to try out several kinds of diapers before finding one that works for their baby. What works for one person may not work for another. A lot of online stores offer beginner packages that include a variety of diapers, etc. for you to try. Definitely worth looking into!