Apply for UK tourist visa for 6 days

I want to apply for a UK tourist visa for my family and me. We have travelled before to Austria, the US, and Italy. My brother lives in the UK, he has a work visa which will expire next August and they will renew it after, we were thinking to visit a city near his so that we can meet during our visit. We will reserve a hotel for us and for him also at that city during our stay. Is it wise to apply now when his visa is about to expire? I am hesitant about that.
Also there was an amount of money that was deposited to my bank account as a refund from a credit card, and the bank does not want to give a paper justifying the refund, it is written in the bank statement as “refund and card number” (with some stars in the middle). Would that affect my application?
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How can I get UK visa in 5 days?
Collection within 5 working days (priority service)A decision will be made within 5 working days of your appointment at the visa application centre. Check with your visa application centre to see if the priority visa service is available in the country you're applying from.How many days does it take to get UK tourist visa?
Your application for a Standard Visitor visa should be made no earlier than 3 months before you intend to enter the UK, and it will generally take no more than 3 weeks for the visa application to be processed and a decision made after your appointment.Do you need a visa to go to the UK for a week?
U.S. citizens do not need a visa for tourist or business travel to the United Kingdom for a stay up to 6 months. A valid U.S. Passport is required.Can I get a UK visa in 3 days?
For Priority Visa applicants, the process takes 3\u20135 days, while for Super Priority Visa applicants, this speeds up to a single business day. Super Priority Visa Service is available at VFS Global's UK visa application centres in New Delhi, Mumbai and Chennai.How to apply for UK Tourist Visa | Apply Online
Sources: Stack Exchange - This article follows the attribution requirements of Stack Exchange and is licensed under CC BY-SA 3.0.
Images: Pixabay, Armin Rimoldi, Armin Rimoldi, Pixabay