There are two version of AE. One is Standard, the other Pro. The Pro version has motion-tracking.
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In Premiere, you could plop an image of the bus into Photoshop and save a section of the bus paneling that would cover it up. (This replaces the logo, not blurs)
Import into Prem.
Then create an inverted "garbage matte" (hit F1 help, for a pretty good walkthrough.) on the main bus.
Position the bus paneling in the right place to match up... scale, rotate & skew as required.
Like After Effects, you can do this over time. Actually, a lot of the functions in Prem now work like a stripped-down AE timeline.
It's going to look like ass if the bus is weaving all over the road... but you can get away with cloning a replacement side panel fairly well if it's travelling a straight line in a reasonable perspective.