Explained in notes.

Try to start bot and get a leash, as it helps greatly with your clear.
(paths are for blue side, if on red side do the camps opposite).
Red Buff -> Krugs -> Raptors -> Wolves -> Blue Buff -> Gromp for a full clear.
Red Buff -> Raptors -> Krugs for an early bot gank.
Red Buff -> Krugs -> Raptors for an early gank mid.

This is the most important part of Braum, since he's not good at farming or clearing you want to gank a lot to help your lanes.

Generally a standard gank will be you initiating with your q and then autoattacking to proc your passive. Try using W on your laner or a minion to hit your q better.

Remember that your W grants bonus resistances to you and the ally you jump to, so try to use it at the start of a fight and towards another melee or on a carry you think will be focused. In long fights, try to use it always as soon as it goes off cooldown, unless you want to save it for an important play or an escape.

Standard combo is W>E>R>Q
If your lane has someone that benefits from a knockup, such as a samira or yasuo, you could try to start with your ultimate, maybe even out of vision if the situation arises.