Welcome to the game! You have chosen the Centurion-AL as your first mech, a good variant of a good chassis IMO, excellent choice. You'd also like yourself a mech that would be able to use 2 LRM10's well. Luckily enough the Centurion AL can already do this, and do it well IMO, I've ran it with 2 LRM10's myself. Of course that means you will need to upgrade your mech, one of the most fun prospects of the game, but also the one that requires a lot of C-bills. Here's a little roadmap:
Somebody already mentioned the fantastic Smurfy site, check out this link that will show you your stock AL:
http://mwo.smurfy-ne...ab#i=28&l=stock
There are 2 upgrades that will help you to save a lot of weight, which will enable you to add stuff you want to this mech, like that second LRM10 launcher you'd like. There's also one that will add weight but will really help your mech out. These things are:
An upgrade of your Heatsinks to Double Heatsinks.
Upgrading your Standard Structure to an Endo Steel Structure
upgrading your 200 rated Standard Engine to an XL (extra light) 275 rated engine
Doing these things is expensive but you will still get some bonus money from your leftover first 25 matches.
I'd recommend going for the engine upgrade first. In Smurfy look at the right sidebar, showing weapon systems curently. Click on the tab on top that looks like some kind of card holder (3rd one of 4). Now you'll see things like Heatsinks but also any engines your mech might be allowed to equip. All the way down is the XL275, this is the largest engine this mech might equip. Not all mechs need the biggest engine but this one could really use it. It's very costly at almost 4,5M C-bills but it is a very handy engine for all of the other Centurions you'll want to buy in the future and it will fit nicely in a good number of other mechs as well. NEVER sell XL-engines. This engine will make you move faster in terms of speed but also limb/torso movement. Speed is often life in this game. It will take up 3 slots in both side torsi though, and when one of these is destroyed your mech will be destroyed. That's a vulnerability but the hitboxes of the Centurion are ok for this.
Now look at the 200 rated engine you have now. It actually only weighs 11,5 tons, while that XL weighs in at 14 tons, a 2,5 ton difference. But wait, on mouse over you'll see it say something about heatsinks. Only 8 heatsinks fit in this mech internally, which means that in order to get to the required minimum of 10 heatsinks 2 would need to be installed outside of the engine, at 1 ton each. When you look at the XL 275 it already has 10 inside the engine (and actually room to slot in another heatsink at no cost in space but it would take up weight, engines can hold 1 heatsink for every full 25 points of rating). So getting the XL275 would net you 2 heatsinks, so you could remove 2 of the heatsinks outside of the engine, that's the 2 tons negated. Strangely enough this mech actually already has almost half a ton of free tonnage at the start, just drop 2 point of head armour and you've freed up that last half ton. Your mech would now look like this:
http://mwo.smurfy-ne...9c06cba106e5e99
You now have a spare 200 Standard. While some Standard engines are very handy for other mechs this isn't one of them IMO. Selling it would net you almost 0,5M C-bills. A good start for the next upgrade, Double Heat Sinks which come in at a heavy 1,5M C-bills. DHS are almost mandatory on just about every mech build (with very few exceptions) so they are often referred to as the DHS-taks. Get that 1,5M and make the upgrade. Check the cooling efficiency stat in the upper left in Smurfy when you make the upgrade. Wow, it just improved, even though ALL of the external heatsinks have just been removed from your mech! You suddenly have 6 tons of free space + better cooling, that's a big help right there. You can now install that second LRM10 launcher and another ton of ammo to keep those babies going, like this:
http://mwo.smurfy-ne...a8afe392c60e8e6
That leaves Endo Steel. For 1K C-bills/ton of your mech you'll have a weight saving of 5% of your mech weight, so that would be 2,5 tons of weight freed for 500K. It will also take up 14 slots of free space in your mech, so this upgrade is not recommended for mechs that need that space for other stuff. I'll add that the Ferro Fibrous armor upgrade works similarly in terms of slot costs but it gaves you a poorer weight saving. NEVER take Ferro instead of Endo, only take that upgrade when you've still got space left (This goes mostly for Light mechs that don't have the tonnage to take space intensive heavy weaponry). In addition you might want to drop that small laser, it's rather pityful on its own together with weapons with different range profiles. That would give you 3 free tons in total:
What you will do with that 3 ton is all up to personal preference. Maybe you want extra ammo for those LRM's, and it could be likely you'd want to change your energy weapons. Or some more DHS for the lasers you have. Maybe an AMS system with some ammo to help against enemy missiles? Maybe you want 4 Medium lasers, or 4 Medium Pulse Lasers, maybe drop the 2 ML and take another Large Laser? It's all up to you!
Now these are just my recommendations. Maybe you would like to make the upgrades in a different sequence, just do what feels right for you. And if you need some more help we'll be right here.