There's 4 (3) main methods you'll see most people use.

CFOP - Cross, F2L, OLL, PLL - for this method you make a cross on the bottom face similar you would for the ruwix or beginner method you know. Then you solve the first to layers at the same time by pairing up a corner and an edge then inserting it. You proceed to orient the top layer so all your opposite cross color is on top and the you permute all the pieces around to then solve the cube. This is the most widely used method, and you'll see the most resources available for using this method.

Roux - F2B, CMLL, L6E - first you star by building 2 1x2x3 blocks on either side of the M slice then move on to solve all of the top corners, then solve the last 6 edges with the M slice and U face turns. This method is the most intuitive out of the 3 main methods used. Use this method if you enjoy to spice things up a bit as its not used as much as CFOP is.

ZZ - EOLine, ZZF2l, last layer mathod of your choice - you start with ZZ by orienting all of the edges then creating a line on the bottom. Pretty much to opposite cross edges whilst orienting edges. This creates a fully rotation less F2L as you only have to use the R U L faces to solve the F2L. You then can proceed to solve the rest of the cube with multiple possibilities to solve LL. This method is suited really well for one handed since you only have to do Z rotations when solving F2L. Even though I personally use this method I really wouldn't reccomend using it unless you plan on maining one handed as an event. The RUL F2L seems good in theory but really since most people are right handed solvers turning the left side of the cube is in some cases more of a hassle than rotating.