I've read some great advice from the good folks who've posted thus far. Many of the custom barrel makers will post instructions to break in their barrels. All good advice on how to do it. Just broke in a Krieger (used their break-in instructions posted on their web site) barrel for a friend. LOTS of blue on the patches at first, but less and less with each shot fired.
I'm with MMERSS on NOT cleaning your barrel until the barrel indicates doing so. Barrel break-in; yes! Barrel cleaning between range trips or a certain # of shots fired down the tube; NO! I too, live in a dry state, Utah, with low humidity. I don't worry about corrosion unless I've been out in a rainy climate. I've got 1/2 dozen custom barrels that haven't seen a cleaning rod since barrel break-in. If it ain't broke, don't fix it! Meaning, if the barrel is still shooting, don't clean it. Also, I DBC (Dyna Bore Coat) my barrels. Whether their brand new or have several hundred rounds down the tube first. I recently broke my own rule and cleaned my 9.3x62's PacNor barrel with the intent of shooting cast lead boolits. This barrel was DBC'd before a single bullet went down the tube. Probably has 500 rounds through it. I used Hoppes #9 and Barnes CR10, my usual. Barely a trace of copper came out on the patches and this is a rifle that will put 3 250 gr AB's into .2's and .3's.
My heavy 6.5x47 Lapua has some 1500 rounds through it. I DBC'd it around round 300, when I first discovered DBC. It hasn't seen a cleaning patch since that 300th round and I just developed a 140 gr Hybrid load that will put 5 into .26 to .3 moa over and over. As long as it keeps doing that, I'm not cleaning it.
Alan