Mos Eisley was the kind of place that never really changed. No matter the political climate of the galaxy as a whole, it was one of those spaceports where the local garrison really only had enough security to keep their building safe, and weren't foolish enough to get involved in the business of most of the beings there. This was, of course, usually because the local magistrate was being paid by said beings doing shady business, but the reasons for staying out of things rarely mattered.
The simple fact was that the Empire could really only put a small amount of troops within the spaceport before the local crimelords decided to deal with it. And so, the city that was open to the desert didn't even have guards or lookouts posted at the edge of the city as the speeder came in.
There were aliens everywhere, and a few Stormtroopers, too. Most were going about their business, and the few Imperials that were seen were congregated around the small administration building near the center of the spaceport. There would also likely be troops at the port itself, as that was under Imperial control, but probably not much beyond that. The locals simply got out of the speeder's way, not paying it any attention and obviously knowing the value of keeping to themselves.
Just passing down one street of the spaceport, there were three cantinas, two junkshops that probably sold more than just junk, at least four buildings with guards outside hinting at crimelord operation houses, and a pair of repair shops for broken speeders that looked like the kind of place that would steal your vehicle after they were done repairing it.
All in all, it was actually a fairly good place to be to hide from the Empire, despite being so close to the Imperial capital on the planet.