The new TSB bank will appear on the high street from September 9 when Lloyds offloads 631 branches and eight million accounts to meet European competition rules.
Under a £30 million rebranding campaign, the bank's new website - tsb.co.uk - will be up and running from Friday. TSB will offer the same products as Lloyds initially, with new deals expected later.
Customers will be able to use their existing passwords on the website but will not be able to log in until September 8, the day before the new TSB banks open their doors.
These customers were initially expecting to be transferred to the Co-operative Bank, but the deal collapsed earlier this year and Lloyds now plans to float the TSB business in mid 2014.
Consumers who are unhappy about making the move can have requests to stay with Lloyds granted - and 4,000 customers have done this.
However, 600 customers have made an unprompted decision that they want to move to TSB.
Some early indications of how TSB intends to set out its stall suggest that the bank aims to combine a back-to-basics customer-centred ethos with an "appetite for change". TSB's chief executive Paul Pester previously led the team that created Virgin Money in the UK.
Some images of the new TSB logo, with three circles, each containing a letter and set on a blue background, have been released recently and are described as an "evolution" of TSB logos in the past. A bigger burst of publicity is expected next month.
The TSB bank will have around 8,000 members of staff, made up of those who are moving with the branches and new recruits.
A website set up to help TSB's recruitment drive describes the bank as "a fresh start" and says it aims to bring "new competition to the UK high street and greater choice for consumers".
The website says: "We'll have all the reassurance of scale and expertise that our customers rightly want from their bank, together with the passion and appetite for change our status as Britain's newest high street bank will offer."