EIT2, you have gotten a lot, for the most part, good advice. Now let me offer you a little bit.
1. If you go with the Full penetration weld, the "ends" of the beam that will be welded must be prepared in accordance with AWS and AISC specifications to meet the criteria of pre-qualified weld. If the ends are not prepared accordingly, the joint is not classified as a "pre-qualified joint." As such, proper welding procedures need to be written and sample joints must be tested to insure the joint welding procedures are acceptable.
2. Have the steel fabricator submit copies of the shop drawings. Have them also submit copies Spec sheet of the welding electrode they intend to use. You should check the electrode is acceptable for use on this steel. Look at AWS D1.1-96, Table 3.1, "Prequalified Base Metal-Filler Material Combinations for Matching Strength". If you are not familiar with the fabricator, you should provide the testing lab a copy of the approved submittals. Don't rely on the inspector to get a copy in the field from the welder. Most likely, he is a outside sub to the fabricator and won't have the info.
3. Ask for copies of the welder certification. Not all welders are certified to weld in all positions, "unlimited" thicknesses, or with different processes SMAW vs. FCAW. PAss along a copy of the certification to the inspector. Most good inspectors know the welders in the area and most likely have "certified" them. However, there may be that one welder that is not known. (It also makes shure that the welder on the job is same person the fabricator said would be on the job.)
4. A CWI, HIRED BY THE OWNER AND PAID FOR BY THE OWNER, must be present before the welding begins to inspect for proper joint preparation,etc., during the welding operations - to inspect that proper interpass heat is being used, that slag is being removed, etc. - and after the joint is completed to inspect for any visual defects.
Ask for a copy of the persons certification if you are not familiar with the inspector.
5. Thge CJP weld must be ultrasonically tested by an ASNT TC-1A Level 2 or Level 3 technician certified in UT testing. The technician should be HIRED and PAID by the OWNER. If you are not familiar with the testing lab's technician preforming the inspection, ask for a copy of his certification and a copy of the testing procedures he was certified to. ASNT TC-1A certification does not state the person qualified to perform UT testing. It states that the person is qualified to perform UT testing to a certain set of procedures, or steps. In other words, Joe B works for ABC Testing labs and is a certified Level 2 in UT testing and CWI. Joe leaves ABC Testing Labs to go to work at XYZ Testing, according to ASNT Standards, Joe is no longer a certified Level 2 UT technician until he re-certifies himself with the UT inspection procedures used at XYZ Testing. However, regardless of what testing lab he works for he will always be a CWI because AWS certifies the person is qualified to inspect the welds based on a recognized standard.
Some engineers might say I'm a little jaded with some of my recommendations.....let's just say I've been there before and don't want to go back.