In your Transactions panel, it will probably say something like how much the Bounty is on your head. It will also have a time given in days, hrs and/or mere minutes.
Leave that particular system for longer than that time, after which you will no longer be Wanted but will still have a fine. Then return and visit a local station, wherein you may pay off the fine.
Job done.
Be aware though, especially if you play in Open, that you juuuuuuuuuuust might get scanned by someone with a Warrant Scanner. Even though you're not Wanted in any given system, that will show you have a Bounty in another and that someone can then kill you for the Bounty.
Happens quite rarely these days though.
Two basic options,
IMO.
1/. Approach the base carefully in the SRV, use any and all available cover, take down the Skimmers, Turrets etc one at a time. Try to stay hidden or out of range from the hostiles, while drawing the Skimmers out to you.
2/. If you're good with the stick, fly in with your ship and shoot everything up. Works great on turrets, though skimmers are quite small and you'll need to get very close in. Missiles might help.