Even if you take an Umrah visa, you will not be allowed to stay in Jeddah or visit the place. Umrah visa allows you to stay in Makkah and Medinah only. If you have friends and relatives living in Jeddah, they can of course visit you. The cost of getting an Umrah visa through an agent is not that much. The last time I took one, they charged me just QR 250.