To further clean your instrument remove all valves, slides and caps from the trumpet. You may submerge the trumpet in warm water (should be noticeably warm but not scalding hot) with mild dish soap such as dawn. Let the instrument sit for five minutes and then use your valve casing brush and snake brush to remove excess dirt and debris from the trumpet. Absolutely DO NOT force the brushes into smaller spaces such as the valve ports or the ends of smaller tuning slides. The crook ends of the 1st and third valve tuning slides can be cleaned by running water through them.
Once all easily accessible areas of the trumpet have been scrubbed thoroughly rinse the trumpet in warm clean water and let air dry. Once the trumpet is dry you may then apply your necessary lubricants to moving parts and reassemble. Stay safe!