B737 pilot reported loss of navigation; weather radar and autobrakes on departure climb. The flight crew diverted and landed uneventfully.

Narrative

Loss of navigation; WX radar; autobrakesUpon liftoff from [Runway] XXL at [Taxiway] 1 intersection the flight directors disappeared from both the Captain and my display. After a brief hesitation we successfully engaged heading mode which brought back my flight directors; in both a lateral and vertical mode. During the rest of the climb out; we discovered the Captains flight director was only displaying vertical guidance and he never recovered the heading bug or any other information on his lower compass display. Upon activating LNAV mode we both received lateral and vertical guidance; however at this time we also attempted to turn on the weather radar; only to be met with Auto Tilt failures and PWS (Predictive Windshear System) failures. At that time the we agreed to have the Captain contact Dispatch and Maintenance Control to look for a solution. While he was relaying the information; I set the aircraft up for landing due to our decreasing distance to our Top of Descent. During set up; I tried to set the autobrakes; and was met with failure. At that time; we decided to [request priority handling] and requested to proceed to the outer maker for the ILS XYL approach in to ZZZ. As we discussed; [priority handling was requested] due to the concern that this could result in a cascading failure and wanted to apprise ZZZ Approach of the possibility of needed assistance in a time critical manner. The approach and touchdown were completed successfully however upon landing; both FMCs blanked and dropped all flight information. The taxi to the gate and parking was completed successfully and uneventful.