Because Omdurman is the largest town in Sudan, it is very crowded and the streets are frequently narrow lanes.
In the market there is often congestion. Cars and pickups are parked beside the road while haorse and donkey cards, motorbikes, boys pushing wheelbarrows, cyclists , rickshas and pedestrians compete for a space to move. the uneven road surface, litter and salesmen on the street make moving difficult.
Patience is needed until the congestion eases.
All buses heading to Omdurman from other parts of the tri-city usually go through Shuhada Square, so this has become the city's transport hub. Going from Omdurman to Khartoum, listen out for cries of "ArabiArabiArabiArabi", and if you hear "BahriBahriBahri", then that bus is heading to North Khartoum. Buses are extremely crowded heading out of Omdurman in the mornings until midday...you really have to fight and push to get on a bus. The same is true coming from the other direction in the afternoon when businesses close around 2pm.
Omdurman Souq has its own little transport depot, although buses up the main street are incredibly slow, so you might as well get off at Shuhada and walk.
Omdurman also has its own Souq ash-Sha'abi, where buses leave for destinations to the north (Dongola, Marawi)...there are no more bridges over the Nile, so if you're destination is on the west bank, then your bus will leave from Omdurman. However, you can book your tickets from any bus office in the tri-city, and staff there will tell you which bus station to go to.
Omdurman is connected to Khartoum by two bridges spanning the White Nile. There are another two connecting Omdurman and Khartoum North (Bahri). If one of the bridges went out of action I don't know what would happen - the city's reliance on them is incredible. Surprisingly there is no ferry service, just the bridges, so with thousands of people crossing between the two cities every day things get a bit chaotic.
The original Omdurman bridge is known as the 'English Bridge', a huge steel structure that's been here since Kitchener. It wasn't even new then as it had been transported from somewhere in India. As you'd expect of a second-hand century-plus old bridge, it doesn't look in tip-top shape. Built for days when there were fewer cars it only operates one way - in the mornings it goes from Omdurman to Khartoum, in the afternoons it swaps and goes the other way.
If you need to go against the flow then you have to travel a bit further up the river to the newer 'Chinese Bridge'. As the name suggests it was built with Chinese money and expertise - as was the Friendship Hall on Nile Street - and as with the Hall it's dull, grey and concrete. But it is a lot bigger (open both ways) and goes some way to solving the city's growing transport congestion.
With the growth in traffic in Khartoum and Omdurman in recent years (particularly rising numbers of buses) it can't be long till a third bridge is needed. Have never understood why there isn't a ferry...