Animate bubbles upwards continuously with CSS3?

See the following image:

https://i.sstatic.net/F3znK.png

See those transparent circles in the background? What i want to do is make them animate from the bottom up, and then manually jump down (off screen) and re-start the animation. The circles are simple <span> elements with border-radius to make the circle effect.

Is this possible to do with CSS3, or will i be needing javascript for that? I would also, if possible, like to move the circles randomly sideways within an X range while moving up. I would imagine the randomness would require javascript?

If possible, i would appreciate some suggestions/ideas as for how to make it. If not possible with CSS, Javascript libraries is welcome as well!

Here is a pure CSS demonstration (adapted from this tutorial) that relies on the animation property. Update: Thanks to TonioElGringo the bubbles now also move sideways, although the motion is rhythmic, not random:

html,
body,
#bubbles { height: 100% }
body { overflow: hidden }
#bubbles { padding: 100px 0 }
.bubble {
    width: 60px;
    height: 60px;
    background: #ffb200;
    border-radius: 200px;
    -moz-border-radius: 200px;
    -webkit-border-radius: 200px;
    position: absolute;
}

.x1 {
    -webkit-transform: scale(0.9);
    -moz-transform: scale(0.9);
    transform: scale(0.9);
    opacity: 0.2;
    -webkit-animation: moveclouds 15s linear infinite, sideWays 4s ease-in-out infinite alternate;
    -moz-animation: moveclouds 15s linear infinite, sideWays 4s ease-in-out infinite alternate;
    -o-animation: moveclouds 15s linear infinite, sideWays 4s ease-in-out infinite alternate;
}

.x2 {
    left: 200px;
    -webkit-transform: scale(0.6);
    -moz-transform: scale(0.6);
    transform: scale(0.6);
    opacity: 0.5;
    -webkit-animation: moveclouds 25s linear infinite, sideWays 5s ease-in-out infinite alternate;
    -moz-animation: moveclouds 25s linear infinite, sideWays 5s ease-in-out infinite alternate;
    -o-animation: moveclouds 25s linear infinite, sideWays 5s ease-in-out infinite alternate;
}
.x3 {
    left: 350px;
    -webkit-transform: scale(0.8);
    -moz-transform: scale(0.8);
    transform: scale(0.8);
    opacity: 0.3;
    -webkit-animation: moveclouds 20s linear infinite, sideWays 4s ease-in-out infinite alternate;
    -moz-animation: moveclouds 20s linear infinite, sideWays 4s ease-in-out infinite alternate;
    -o-animation: moveclouds 20s linear infinite, sideWays 4s ease-in-out infinite alternate;
}
.x4 {
    left: 470px;
    -webkit-transform: scale(0.75);
    -moz-transform: scale(0.75);
    transform: scale(0.75);
    opacity: 0.35;
    -webkit-animation: moveclouds 18s linear infinite, sideWays 2s ease-in-out infinite alternate;
    -moz-animation: moveclouds 18s linear infinite, sideWays 2s ease-in-out infinite alternate;
    -o-animation: moveclouds 18s linear infinite, sideWays 2s ease-in-out infinite alternate;
}
.x5 {
    left: 150px;
    -webkit-transform: scale(0.8);
    -moz-transform: scale(0.8);
    transform: scale(0.8);
    opacity: 0.3;
    -webkit-animation: moveclouds 7s linear infinite, sideWays 1s ease-in-out infinite alternate;
    -moz-animation: moveclouds 7s linear infinite, sideWays 1s ease-in-out infinite alternate;
    -o-animation: moveclouds 7s linear infinite, sideWays 1s ease-in-out infinite alternate;
}
@-webkit-keyframes moveclouds {
    0% {
        top: 500px;
    }
    100% {
        top: -500px;
    }
}

@-webkit-keyframes sideWays {
    0% {
        margin-left:0px;
    }
    100% {
        margin-left:50px;
    }
}

@-moz-keyframes moveclouds {     
    0% {
        top: 500px;
    }

    100% {
        top: -500px;
    }
}

@-moz-keyframes sideWays {
    0% {
        margin-left:0px;
    }
    100% {
        margin-left:50px;
    }
}
@-o-keyframes moveclouds {
    0% {
        top: 500px;
    }
    100% {
        top: -500px;
    }
}

@-o-keyframes sideWays {
    0% {
        margin-left:0px;
    }
    100% {
        margin-left:50px;
    }
}