Good Day Everyone!!

I need some advise for the easiest way to go to the Phil. Emb in London for my passport renewal.I will probably take a train to Charing Cross and take the bus from Victoria Coach Station on my way back here in Bristol(since I dont know what time I will finish and it will be cheaper also).My questions are,can I walk to the embassy from Charing Cross Station and how long it will take.Also,is it easy to take a bus (to and fro to embassy from Victoria Coach Station) and one last question,how long it will usually take in lodging my application,I will be arriving London about 11 AM (cheapest fare I could get).

Looking forward for your helpful replies as always....Have an enjoyable weekend to all....